He purchases a total of 150 containers of popcorn to sell. After he sells 15 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 y=mx+b.
Question 1
Part A
What is the slope of the line that models the function?
Enter the correct answer in the box.
Answer: 208.00
Step-by-step explanation:If Cassidy sells all of the popcorn, his profit would be equal to $208.00.
What is the slope-intercept form?
Mathematically, the slope-intercept form of a line can be modeled by using this linear function:
y = mx + b
Where:
m represents the slope.
x and y are the points.
b represents the y-intercept.
How to determine Cassidy’s profit?
In order to determine Cassidy’s profit, we would have to calculate the cost of the containers of popcorn by using this mathematical expression:
Note: the price tag for a container of popcorn is one dollar and fifty cents.
Cost of containers = revenue - total profit
Cost of containers = 1.50(15) - 5.50
Cost of containers = 22.5 - 5.50
Cost of containers = $17.00
Therefore, the linear function which models Cassidy’s profit is given by:
y = 1.50x - 17
If Cassidy sells all of the popcorn, his profit is given by:
Cassidy’s profit, y = 1.50x - 17
Cassidy’s profit, y = 1.50(150) - 17
Cassidy’s profit, y = 225 - 17
Cassidy’s profit, y = $208.00
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Complete Question:
Cassidy is selling popcorn for a fundraiser sale at the price shown.
A photo of a container of popcorn is shown. The price tag reads one dollar and fifty cents.
He purchases a total of 150 containers of popcorn to sell. After he sells 15 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 y=mx+b.
What is Cassidy’s profit if he sells all of the popcorn?
HInt: Substitute 150 for x to find the profit if all the popcorn is sold.
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Answer:
Step-by-step explanation:
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Solve for x
1/2x - 2 = 3
A. x= 14
B. x= 10
C. x= 2
D. x=7
brainliest to whoever answers it correctly!!1!1!1
Bowler World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game
Answer:
Part A:
Bowler World: c=$1.10g+$5.00
Lucky Spares: c=$1.50g+$3.00
Part B: Cost would be equal after 5 games at $10.50
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I have read for 1 3/5 hours and I am 4/9 of the way through my book. How long will it take me to finish the book? _ hours
Imagine that you are plotting points on a coordinate plane. Each axis is labeled with integers from -5 to 5 explain how you would plot a point at the location (-2 1/2, -4).
Write three to four sentences.
the answer is in the above picture
Help
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers?
Answer: 16/225
Step-by-step explanation:
i did the math
What is the value of:
32,538 ÷ 10 to the power of 3
Group of answer choices
3.2538
3253.8
325.38
32.538
Thanks!
Answer: 32.538
Step-by-step explanation:
10³ is the same as 1000
32,538÷10³ is the same as moving the decimal at the end 3 times to the left
Answer:
B, or 3,253.8
Step-by-step explanation:
Reggie works at Bright Bouquets flower shop.
Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment,
12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.
Which equation can you use to find how many roses, x, Reggie normally uses in a centerpiece?:?????????? HELP
Answer:
He normally uses 12 roses in a centerpiece
Step-by-step explanation:
The equation he can use will be,
4x - 12 = 36
4x = 48
x = 12
Which expression is equal to 3(2x + 8) – 4x?
Group of answer choices
10x + 24
2x + 24
2x + 20
10x + 20
Thanks!
Answer: 2x+24
Step-by-step explanation:
expand brackets: 6x+24-4x
collect like terms: 2x+24
Determine whether the sample may be biased. Explain.
A reporter wants to know if the majority of the people in a city want a new football stadium to be built using tax funds, so he gets the opinion of 50 random people at a local college baseball game.
A, B, or C?
Answer:
The sample may be biased. The reporter is only getting the opinion of 50 random people at a local college baseball game, which does not represent the opinion of the entire population of the city. Therefore, the results of the survey cannot be used to make a general statement about how all people in the city feel about the new football stadium.
Step-by-step explanation:
Write an expression to represent "a number k increased by 6."
Answer:
k+6
Step-by-step explanation:
Which simplified ratio correctly compares 12 yards to 20 feet? 1 yard = 3 feet
please help
Answer:
3/5
Step-by-step explanation:
Given ratio 12 yard to 20 feet,
To simplify the ratio, we first need to find the common multiples of 12 and 20,
to find the common multiples of 12 and 20, we need to factorize 12 and 20.
On factorization, we get 12= 2*2*3 and 20=2*2*5.
Common multiples of 12 and 20 are that is 4.
And now simplifying the given ratio, 12 yard to 20 feet , that is 12/20=3/5
Answer: 3/5
Step-by-step explanation: To simplify the ratio, we first need to find the common multiples of 12 and 20 then once you find the common form there you should have your answer.
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Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.
A. 1/5 = 8/x
B. 1/x = 5/80
C. 1/5 = 80/x
D. 1/x = 8/5
what is it?
find n
60/66 = n/22
Step-by-step explanation:
n = 20
solve =
60 / 66 = n/22
n =( 60 / 66 ) × 22:
n = 20
Gary ran 6 more laps than Edwin during track practice. Together they ran 40 laps. Write a system of equations that represents this situation.
Answer:
1. e + g = 40
2. g - 6 = e
Step-by-step explanation: Hello!
You know that Gary ran 6 more laps than Edwin during track practice. Let's represent Edwin as the variable (e) and Gary as the variable (g). You also know that together they ran 40 laps. Since g ran 6 more laps than e and they both ran 40 laps combined, the following system of equations can represent this situation.
e + g = 40
g - 6 = e or e + 6 = g
Write an expression to represent "subtract 45 from a number c." (use / for division)
Write an equation to represent "33 is 15 less than k."
Answer:33-15=k
Step-by-step explanation:
because 33 is 15 less which is 33-15 than k which is 33-15=k
the graph displays the population of bacteria in a petri dish. describe the change in population over time.
Need help ASAP
Will give BRAINLIEST
Step-by-step explanation: Surface area of triangular prism = 2A + PH.
Lateral surface of a triangular prism = Length × (a + b + c)
i hope it helps u :-)
Answer:
225 and 243.4
Step-by-step explanation:
Area of triangle = bh/2
A = 4*4.6/2
A = 9.2 cm sq
A of 2 triangles = 9.2*2 = 18.4 cm sq
Now, Area of 1 rectangle = lb --> 15*5 = 75 cm sq
A of 3 rectangles = 75*3 = 225 cm sq
Now, LSA = 225 cm sq. (excluding the triangles)
TSA = A of tr. + A of rec. = 18.4 + 225 = 243.4 cm sq
Hope it helped. Pls mark me the BRAINLIEST! Don't fool pls
help plss, ill give brainliest<33.
which expression is not equivalent to the other three?
a) 2x + 2+ 2x + 3x – 8
b) 4 + 7x – 2
c) –2 + 5x + 2x – 4
d) 8x – x – 6
4+7x-2
========================================================
Explanation:
Combine the like terms in choice A to find that:
2x+2x+3x = 7x2-8 = -6Therefore, choice A simplifies to 7x-6.
Choice B on the other hand simplifies to 7x+2 since 4-2 = 2.
The expressions 7x-6 and 7x+2 don't match up, which means the answer is either choice A or choice B.
--------------
Let's simplify choice C.
5x+2x = 7x-2-4 = -6Choice C simplifies to 7x-6 which matches with choice A. In other words, choices A and C are equivalent expressions. We can rule out choice A and go with choice B as the final answer.
For the sake of completeness, let's simplify choice D
8x-x-6 = 7x-6
This shows choice D matches with A and C.
--------------
Summary:
Choice A simplifies to 7x-6Choice B simplifies to 7x+2Choice C simplifies to 7x-6Choice D simplifies to 7x-6Answer:
B
Step-by-step explanation:
i did the math bc im smart :)
Help... 1[tex]\frac{2}{5}[/tex] + 1[tex]\frac{1}{2}[/tex] = ?
help me please and thanks!
Answer: 51
Step-by-step explanation:
A of rectangle 2x3 = 6 yd sq
A of rectangle 9x5 = 45 yd sq
Total Area = 45+6 = 51 yd sq
∴ Hope it helped. Pls mark me the BRAINLIEST!
Linear Function Context Questions
Answer:
Step-by-step explanation:
Pick 2 numbers to subtract the C over the M
Subtract these 2 numbers
then divide.
EX: 69.25 - 7= 62.25
61.00 - 4= 57
divide 62.25/57= whatever number u get
A shop sells 80 gift vouchers valued at £5, £10, £20, £50 or £100.
The tables shows the number of each sold one weekend.
Price of gift voucher Number of vouchers sold
£5 34
£10 26
£20 9
£50 7
£100 4
The shopkeeper states "on average, people spend at least £15 on a gift voucher"
Calculate all three averages (mode, median, mean) of the data above.
Answer:
Step-by-step explanation:
Mean = [tex]\frac{Highest- Lowest}{2}[/tex]
= [tex]\frac{100-5}{2} = 47.5[/tex]
Median = 20 currency
Find the area of the square. 4 9cm
Answer:
2401 cm
Step-by-step explanation:
Area of square = a^2
a = side of square
a = 49cm
Hence, area of square = 49^2
= 2401cm
Write two equivalent fractions to describe the portion of the eggs that are dark gray
which expression is represented by the model?