RAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. A. How much will the trip cost the Kaplan family at the per person rate? B. How many people must be on the river trip to make the flat rate less expensive than the per person rate?

Answers

Answer 1

Answer:

(a) $16.25

(b) 7

Step-by-step explanation:

Rent of 1 raft for 1 day= $10

So, rent for 1 raft for half-day=10/2=$5

Charge for 1 person for half-day river trip =$15

Flat rate for half-day river trip=$200

(a) There is 4 member of the Kaplan on the trip.

One raft can hold up to 10 people, so, they need to take 1 raft on rent.

Rent of 1 raft for half-day =$5

Charge for 4 persons for half-day river trip =$15x4=$60

Total cost for the half-day trip for 4 persons=5+60=$65

Cost for half-day trip for 1 person= $65/4=$16.25

(B) Let there are n peoples on the river trip.

For the number of people up to 10, they need to take one boat on rent.

Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)

=5+15n.

Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)

=5+100

The condition for which the flat-rate cost is less expensive than the per person rate cost is

[tex]5+100<5+15n[/tex]

[tex]\Rightarrow 100<15n[/tex]

[tex]\Rightarrow n>\frac{100}{15}[/tex]

[tex]\Rightarrow n>6\frac{2}{3}[/tex]

As n is the number od person which cant be a fractional value, so

n=7,8,9,... or [tex]n\geq7[/tex]

So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.


Related Questions

BRAINLIEST !!! HOW MANY BURGERS CAN YOU MAKE WITH 1 BILLION BURGERS ??
each cow can make 1,200 burgers !
explain

Answers

Answer:

Well if Your asking for burgers the question makes no sense but if your asking how many cows it takes to make 1 billion burgers it would be 833,333 or round it 833,334

Evan earned $26 for 4 hours of babysitting.
What equation can be used to model his
total earnings y for babysitting x hours?
Then graph the equation on the coordinate
plane. What is the unit rate? How is that
represented on the graph?​

Answers

$26 / 4 hours= $6.5/ hour

The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given that,

Evan earned $26 for 4 hours of babysitting.

If total earnings y for babysitting x hours then,

y = (26/4)x ⇒ y = 6.5x will be the equation.

The unit rate of the function is y/x = $6.5/hour.

Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".

For more information about the graph of a function

brainly.com/question/27757761

#SPJ2

The ratio y/x is called the all of these EXCEPT which one?
1. Unit Rate
2. Constant of proportionality
3. multiplicative inverse
4.constant multiplier

Answers

Unit rate and constant of porportionaluty is the same thing just a tip


11. A car is travelling at the average speed of 50 km/hr. How much distance would it travel in
1 hour 12 minutes?

Answers

Answer: Twelve minutes is 12/60 = 1/5 = 0.2 hours. So the car travelled for 1.2 hours. The car travelled at an average of 50 km/hr for 1.2 hours, so it travelled 50 km/hr * 1.2 hours = 60 km.

AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. if i rent a car and drive 25 miles, how much will I have to pay?

Answers

Answer:

$74.74

Step-by-step explanation:

$49.99 + $0.99 (25) =

$74.74

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

Answers

Answer:

In an hour and 5 minutes

(or 60 seconds but it will only overlap for a second)

Explanation:

After 60 minutes it will be an hour and the clock will show 1o'clock, after 5 minutes, the minute hand will be at the "1" so they will over lap at 1:05

Answer: 5.45

(the way I solved it is in the picture)

What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP

a)1/2
b)-1/2
c)2
d)-2
e)3/2

Answers

Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

Is y=x+3.75 proportional

Answers

Answer:

NO

Step-by-step explanation:

if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.

Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.

That means that the relationship is NOT proportional.

The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.

Hope this helps and pls do mark me brainliest if you can:)

Answer: No

Step-by-step explanation:

The equal y=x+3.75 is expressed in slope intercept form meaning it doesn't fit the proportional equation which is y=kx and k is the slope.

Because of the y-intercept of the line it makes it  not  proportional .

Help me pls i need this to get through my homework

Answers

Answer:

x is greater than negative 4, and less than or equal to 5

Step-by-step explanation:

Answer: X is greater than negative 4 and less than 5

Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.

Can someone help me!! what is the smallest positive counterclockwise roation if the point is rotated at 272 degrees clockwise

Answers

Given:

The point is rotated at 272 degrees clockwise.

To find:

The smallest positive counterclockwise rotation for the given clockwise rotation.

Step-by-step explanation:

Clockwise rotation = 272°

We need to subtract the given clockwise rotation from 360° to get the smallest positive counterclockwise rotation, because one complete circle is 360°.

Counterclockwise rotation = 360° - Clockwise rotation

                                            = 360° - 272°

                                            = 88°

Therefore, the smallest positive counterclockwise rotation is 88°.

Which statements below are TRUE about perpendicular lines? I. Perpendicular lines intersect II. Perpendicular lines create right angles III. Perpendicular lines are collinear IV. Perpendicular lines never intersect V. Perpendicular lines are coplanar

Answers

Answer:

Step-by-step explanation:

Two lines are perpendicular to each other if they both intersects and the two lines are inclined at angle 90°

Since they are inclined at 90° to each other, hence they create right angles.

The lines can also lines on the same plane to form a right angles. This are called coplanar lines.

From the above explanation, the following are true;

I) Perpendicular lines intersect

II) Perpendicular lines create right angles

V) Perpendicular lines are coplanar

They are not collinear because they can't lie on the same straight line. Collinear lines are known to lie on the same straight line.

7TH GRADE ME PLZZ thanks

Answers

Answer:

-2/6 or -1/3

Step-by-step explanation:

the position of a deep sea probe is -2 3/4 fathoms relative to the sea level. after finishing taking data, it moves to -2 5/8 fathoms relative to sea level. which was deeper, the first mission, or the second. (i’m in modern high school which means i get collage questions, i only have 1 hour left to get this done, someone help!)

Answers

Answer:

The first mission

Step-by-step explanation:

The depth readings are

The first mission:  - 2 3/4 fathomsThe second mission: - 2 5/8 fathoms

Comparing the readings

- 2 3/4 = - 2 6/8  and  - 2 5/8

Absolute values compared

2 6/8 > 2 5/8

Indicating the greater value on the first mission

As per above, the first mission was deeper

Convert the scientific notation into a standard form number,
1.23 x 10-5

Answers

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]

[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left

[tex]a\cdot10^n[/tex] - move the decimal point n place to the right

Examples:

[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]

write 125 as a repeated multplication of 5 then write the power

Answers

Answer:

5×5×5=5³

Step-by-step explanation:

Answer:

A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.

Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.

is 48 a perfect cube? why?

Answers

Answer:

yes, because it is an even number

Step-by-step explanation:

Answer:

So the square of 48 is not perfect square

Step-by-step explanation:

Hana rents a car for a day. Her car rental company charges $50 per day and $0.40 per mile. Peter rents a car from a different company that charges $70 per day and $0.30 per mile. How many miles do they have to drive before Hana and Peter pay the same price for the rental for the same number of miles?

Answers

50 + .4x = 70 + .3x

.4x = .3x + 20

.1x = 20

x = 200

Let x be the number of miles.

They have to drive 200 miles.

They will drive 200 miles before paying same amount.

Let the number of miles that they will drive together and pay the same amount be represented by x.

Since Hana's car rental company charges $50 per day and then $0.40 per mile, this can be represented as:

= 50 + (0.40 × x)

= 50 + 0.40x

Since Peter rents a car from a different company that charges $70 per day and then $0.30 per mile, this will be:

= 70 + (0.30 × x)

= 70 + 0.30x

Then we will equate both Hana's and Peter's equation together and this will be:

50 + 0.40x = 70 + 0.30x

Collect like terms

0.40x - 0.30x = 70 - 50

0.1x = 20

x = 20/0.1

x = 200

In conclusion, they will drive 200 miles before paying thesame amount

Read more on:

https://brainly.com/question/17671517

i need help with this equation
-17 = -7c + 4

Answers

Answer: c = 3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Subtract 4 from both sides.

-17 - 4 = -7c

Step 2: Simplify -17 - 4 to -21.

-21 = 7c

Step 3: Divide both sides by -7.

[tex]\frac{-21}{-7}[/tex] = c

Step 4: Two negatives make a positive.

[tex]\frac{21}{7}[/tex] = c

Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.

3 = c

Step 6: Switch sides.

c = 3

~I hope I helped you! :)~

The table below shows Britney's distance, in miles, from her destination after different time intervals in hours: Time (hours) (x) 2 4 1 3 6 5 7 Distance from destination (miles) (y) 1,000 880 1,060 940 760 820 690 What is the correlation coefficient for the data, and what does it represent? (5 points) 0; it represents no correlation between x and y 0.999; it represents a linear positive correlation between x and y −0.999; it represents a linear negative correlation between x and y 0.999; it represents a linear negative correlation between x and y

Answers

Answer:

-0.999

Step-by-step explanation:

Answer:

-0.999

Step-by-step explanation:

took test

Which ordered pair is a solution and f the equation? y-3=5(x-2)

Answers

Answer:

135=

3=5−10

Step-by-step explanation:

im not good at this but my mom said to try so i its not right

select all values that make the equation true 2(x-8)=x+5x
x= -4
x= -16
x= -2
x= -0

Answers

Answer:

x = -4

Step-by-step explanation:

2(x-8)=x+5x

Combine like terms

2(x-8) = 6x

Divide by 2

2(x-8)/2 = 6x/2

x-8 = 3x

Subtract x from each side

x-8-x = 3x-x

-8 = 2x

Divide by 2

-8/2 = 2x/2

-4 =x

X=-4
2(x-8)=x+5x
2x-16=6x
Subtract 2 from each side
-16=4x
Divide both side by 4
-4=x

5(2x+3)+3x=4(x+7)+5 show your work

Answers

Answer:

X = 2

Step-by-step explanation:

(-3,7) and (8,-6) found distance

Answers

Use the slope formula

Identify equations, expressions, and inequalities
Identify whether each phrase is an expression, equation, or inequality.

HUH PLEASE HELP

Answers

Answer:

the middle one goes to the top, top one goes to the middle and bottom stays there

Step-by-step explanation:

PLEASE HELP! IM IN 8TH AND I NEED SOMEONE TO EXPLAIN <3

Answers

Answer:

can u help me then i will help u:/

Step-by-step explanation:

Answer:

y=10x+35

so for 4 yoga classes, it is $75

so for 8 yoga classes, it is $115

so for 12 yoga classes, it is $155

Step-by-step explanation:

So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35

Explanation for 4 yoga classes: y=10(4)+35 which is 75

Explanation for 8 yoga classes: y=10(8)+35 which is 115

Explanation for 12 yoga classes: y=10(12)+35 which is 155

Hope this helps!

Please if anyone can answer?

Answers

Answer:Oof your stuff looks hard!

Step-by-step explanation:

Answer:

n = - 7

Step-by-step explanation:

[tex] \frac{2m + 5}{n + p} = 9 \\ \\ plug \: m = 2 \: and \: p = 8 \\ \\ \frac{2 \times 2 + 5}{n + 8} = 9 \\ \\ \frac{4 + 5}{n + 8} = 9 \\ \\ \frac{9}{n + 8} = 9 \\ \\ n + 8 = \frac{9}{9} \\ \\ n + 8 = 1 \\ \\ n = 1 - 8 \\ \\ n = - 7[/tex]

I Mark got 54 out of 66 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form
Please help

Answers

Answer: The answer would be 2/11

Step-by-step explanation: Mark answered 54 questions correctly, so Mark missed 12 which gives you 12/66. Then that simplifies to 2/11

The segments shown below could form a triangle.

A. True

B. False

Answers

Answer:

the answer is true :A

can 7in and 1lb be in the same unit

Answers

Answer:

Yes

Here you gooooooo

f(x) = 4x^2 - 7x + 7 find f(7)

Answers

Answer:

ummmm what grade do you are

Answer:

f(7)=140

Step-by-step explanations:

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