Cassidy is selling popcorn for a fundraiser sale at the price shown. he purchases a total of 150 containers of popcorn to sell. after he sells 25 containers, he will make a total profit, after his upfront costs, of $5.50 cassidy's profit, after upfront costs, can be modeled by a linear function in the form of y=mx+b.

C. Will the function be discrete or continuous? Explain.

D. Write the function that models Cassidy's profit.

E. What is the domain of the function?


F. What is Cassidy's profit or loss if he does not sell any popcorn?

G. What is cassidy's profit if he sells all the popcorn?

H. What is the range of the function? ​

Answers

Answer 1

The domain and the range of the function describes the possible profit or

loss from the sale of popcorn and the number of popcorn units.

The correct responses are;

C. The function is discreteD. The function is; y = 1.5·x - 32E. The domain is; 0 ≤ x ≤ 150F. The loss when non of the popcorn is sold is $-32G. The profit is $193H. The range is; -32 ≤ y ≤ 193

Reasons:

The question parameters are;

The price of a popcorn = $1.5

Number of popcorn he purchases = 150

Total profit made = $5.50

The number of containers sold = 25

Therefore;

C. Given that the number of containers sole is countable, the function will be discrete.

D. Cost of the containers = Revenue - Profit

Which gives;

Cost of the containers = 1.5 × 25 - 5.5 = 32

The given function is therefore;

y = 1.5·x - 32

E. The domain is the 150 containers which gives;

The domain = 0 ≤ x ≤ 150

F. When no popcorn is sold, we have;

x = 0, which gives;

y = 1.5 × 0 - 32 = -32

If he does not sell any popcorn, the loss is $32

G. If all the popcorn are sold, we have;

x = 150

Therefore;

y = 1.5 × 150 - 32 = 193

The profit if all the popcorn are sold = $193

H. The range of the function are the possible y values, which is the possible profit or loss, which gives;

The range = -32 ≤ y ≤ 193

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Related Questions

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

The bisector of a given angle

Step-by-step explanation:

Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.

The area of the Mountain Island Educational State Forest in North Carolina is 3 square miles. What is the area, in square yards, of this forest

Answers

The area of the forest in square yards is [tex]9.3 \times 10^6[/tex]

The area of the forest in square miles is given as:

[tex]Area = 3mi^2[/tex]

To convert the area to square yards from square miles, we multiply the area by 3.098 * 10^6.

So, we have:

[tex]Area = 3 \times 3.098 \times 10^6yd^2[/tex]

Evaluate the product

[tex]Area = 9.294 \times 10^6yd^2[/tex]

Approximate

[tex]Area = 9.3 \times 10^6yd^2[/tex]

Hence, the area of the forest in square yards is [tex]9.3 \times 10^6[/tex]

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So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?

Answers

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

14/2 = 748/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?

Answers

Answer:

There are 9 people in the class.

Step-by-step explanation:

Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,

4+4+1 (Sean himself) = 9 people

The number of students in the class is given by the sum of the frequency

of each score.

There are at least 9 students in the class.

Reasons:

When the class scores are arranged in increasing order, we have;

Sean's position = 5 th = The fifth lowest score

Therefore;

The number of scores lower than Sean's score = 4

When the scores are arranged in decreasing order, we have;

Sean's position = 5 th = Fifth highest score

Therefore;

The number of scores higher than Sean's score = 4

The total number of different scores in the class = 4 + 1 + 4 = 9

Given that two or more students can have the same score, the frequency

of each score, determines the number of students in the class, we have;

The number of students in the class, n ≥ 9

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If the sum of six consecutive even integers is 438, what is the smallest of the six integers?

Answers

46
Because the sum of six consecutive is 46

A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?

Answers

Answer:

8/10

Step-by-step explanation:

id hope your have a great day

Answer:

80%

Step-by-step explanation:

80÷100=.8 which is 80%

Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a

histogram showing her data:

# of messages

2

0

0

20

40

60

80

100 120

# of characters

Which interval contains the median number of characters?

Answers

The median of a histogram is the middle element of the histogram.

The interval contains the median number of characters is 20 - 30

The number of characters is given as:

[tex]n = 9[/tex]

The median position is then calculated as:

[tex]Median = \frac{n + 1}{2}th[/tex]

So, we have:

[tex]Median = \frac{9 + 1}{2}th[/tex]

Add 9 and 1

[tex]Median = \frac{10}{2}th[/tex]

Divide 10 by 2

[tex]Median = 5th[/tex]

So, the median is the 5th position.

From the histogram (see attachment), the 5th element is in the interval 20 to 30.

Hence,  the interval contains the median number of characters is 20 - 30

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Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?

Answers

Answer:

25

Step-by-step explanation:

what is 4.5 18% of

100 / 18 = 5.56

4.5 x 5.55... = 25

$25

4.50 = 18%
0.25 = 1%
25 = 100%

\sqrt((x-(1)/(2))^(2))=3.5

Answers

Answer:

8

Step-by-step explanation:

sqrt((x-1)/2)^2))=3.5

square root and squared cancel out

(x-1)/2 = 3.5

x-1 = 7

x = 8

I Keep getting different number help plz

Answers

Answer:

x = 2

Step-by-step explanation:

(4+3x)/2 = 5

4+3x = 10

3x = 6

x = 2

Answer:

the answer is two

Step-by-step explanation:

4/2 3x/2=5

2+1.5x=5

-2.        -2

1.5x=3

————

1.5.   1.5

3/1.5=2

Susanna walked 2/7 of a mile in two over five of an hour what is a unit rate in miles per hour

Answers

Answer:

speed = distance/ time so:

(2/7) / (2/5) = (2/7) x (5/2) = 10/14 = 5/7 mph

5/7 = 0.71 miles per hour if you need decimal formatStep-by-step explanation:

Step-by-step explanation:

2/7 miles in 2/5 hours.

to bring this to x miles / 1 hour, we must find the factor for 2/5 to turn into 1.

2/5 × f = 1

f = 5/2

in order to keep the value of the original ratio, we now need to multiply also 2/7 by the same factor (5/2).

2/7 × 5/2 = 10/14 = 5/7

so, the unit rate is 5/7 miles / hour.

which is very slow walking.

9 X 19 + 2 X 57 - 75 = n

Answers

Answer:

210

Step-by-step explanation:

juss a fact

Answer:

210

Step-by-step explanation:

First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210

A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters.
Calculate the volume of the storage tank to the nearest hundredth.

Answers

Answer:

ur mom

Step-by-step explanation:

ur mom + 3= 69

The volume of the storage tank to the nearest hundredth is 2840.04 m³.

Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.

What is the volume of a cone?

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.

The volume of a cone formula is 1/3 πr²h.

Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula

That is, 1/3 × 3.14 × (10.7)² × 23.7

= 2840.0389 m³

≈ 2840.04 m³

Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.

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#SPJ6

3.8×102+1.7×103 giving answer in standard form

Answers

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

Simple interest ending balance $41,900 at 4% for 2 years?

Answers

Answer:

The simple interest is $3352.

Step-by-step explanation:

Using PRT/100, we can find the interest.

=> 41,900 x 4 x 2/100 => 419 x 4 x 2=> $3352Conclusion:

Therefore, the simple interest is $3352.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Melissa has 120 kilograms of rice. Her mother sold 105 kilograms. What percent of the rice was sold? with solution :D please​

Answers

Answer:

225

Step-by-step explanation:

po ang answer ko

please comment if I'm wrong

The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive a bus to work?

Car: 758
Bus:530
Walk:7
Other:105
Total:1400

Answers

Answer:

about 0.38 %

Step-by-step explanation:

Total = 1,400 Employees

Those who drive a bus = 530

530 / 1,400 = 0.378571428571429

round up = about 0.38 %

II
Homework: Secti...
Question 2, 7.1.5
>
Find the critical value Za/2 that corresponds to the given confidence level.
95%
.....
za/2
(Round to two decimal places as needed.)
(

Answers

Answer:

2.17

Answer and Explanation:

The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...

review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Answers

Answer:

1-3-4-2-5

Step-by-step explanation:

[tex]tan\frac{\theta}{2}[/tex] <== Given

[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1

[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3

[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)

[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5

Factor the following expression completely: 3x^2+9x+6

Answers

Answer:

The answer is 3(+1)(+2)

Answer:

3(+1)(+2)

Step-by-step explanation:

Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.

Answers

Answer:

-1/4

Step-by-step explanation:

Rise over run

Rises -1 runs 4

slope = -1/4

A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.

Answers

Answer:

-1.5

Step-by-step explanation:

24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.

First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02

24 : 32 = 24/(-16) : -2 = -1.5 : -2

help me out guys!!!!!!!​

Answers

Answer:

[tex] \frac{5 \sqrt{11} }{11} [/tex]

you are correct !!

A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.​

Answers

Answer:

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an inte...

Find the difference. 2/5(d-10)-2/3(d+6)

Answers

[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]

If A is the center of the circle which of these is/are radii

Answers

Answer:

it could be

A to B

A to E

or A to F

all of them would work

Answer:

segments EA, AB, FA

Step-by-step explanation:

These points are all from the circumference, connecting to the radii, A.

What is 5+5 ..................................................

Answers

Answer:

10

Step-by-step explanation:

5+5=10

each hand has five fingers so if you count all of the fingers on both hands, you will get 10

PLEASE PLEASE PLEASE SOMEONE HELP ME PLEASE I BEG U PLEASE PLEASE !!!!!!!

Answers

Answer:

Right ear     a.d. = auris dextra

Step-by-step explanation:

mathematics may not have been the best place to ask this question.

Answer:

ad meaning right ear so C

Step-by-step explanation:

Has a slope of -2/5 and goes through (-10,-1)​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept

Answers

Answer:

[tex]y=\frac{4}{5}x+4[/tex]

Step-by-step explanation:

You'll need to get this equation in slope-intercept form by solving for y. I do a little extra here to get it in the correct form, but I think it's pretty clear. Let me know if I need to clarify.

[tex]\\\\\frac{8x}{5}-2y=-8\\\\-2y=-\frac{8x}{5}-8\\\\2y=\frac{8x}{5}+8\\\\y=\frac{4}{5}x+4[/tex]

Once it's in slope-intercept form, both the slope and the y-intercept are readily available so you can easily graph it. I graphed both of them in the attached image so you can see that they are the same line.

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