A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

Answer 1

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.


Related Questions

Jace went shopping for a new video game. The listed price of the video game was $41,
but the price with tax came to $44.28. Find the percent sales tax.

Answers

Answer:

It would be 8% .

Good luck ^^

Finish the table using
the equation.


Anyone help please ! ?

Answers

Answer:

y = 0.5,  1,  1.5,  2

Step-by-step explanation:

x is twice as much as y, so when you multiply the input for y by 2, it should get the value of x. Example: if y is 1, then x is 2, because 1*2 = 2

hope this helped!

Factor as the product of two binomials.
x^2-3x+2=

Answers

Answer:  (x - 2) (x - 1)

Step-by-step explanation:

x²-3x+2

= (x - 2) (x - 1)

Evaluate the expression when b=4 and x=-2 .

b-4x

Answers

Answer:

12

Step-by-step explanation:

b-4x

Plug in 4 as b and -2 as x

= (4)-4(-2)

Multiply 4 and 2

= 4-(-8)

Two negatives make a positive

= 4+8

= 12

I hope this helps!

Yes, the answer above me is correct.

This is a 3rd grade math question. I don't know how to explain it to a 9yr old

Answers

this is 3rd grade math? jesus..

Answer:

that poor 3rd grader O.O that is hard

Step-by-step explanation:

online

For the linear function(straight line) y = 7x - 3,ar function(straight line) y = 7x - 3,

a) What is the slope of the given function?



b) Is the function increasing or decreasing?



c) What is the y-intercept(0, b) of the given function?

Answers

Answer:

a) slope is 7

b) slope is positive, so Increasing

c) y-intercept is -3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Only values that satisfy y > 3x + 1 are solutions.

Only values that satisfy y < 3x – 3 are solutions.

Values that satisfy either y > 3x + 1 or y < 3x – 3  are solutions.

There are no solutions.                                                               Edge 2022

Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil?

Answers

Answer:

2.5 liters of gas is used with per liter of oil

Step-by-step explanation:

Max is missing oil and gas for his moped.

Amount of gas used = 3.75 liters

Amount of oil required = 1.5 liters

Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]

                                                             = [tex]\frac{2.5}{1}[/tex]

That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters

Therefore, 2.5 liters of gas is used per liter of oil.

Can someone please help me figure this out, thanks!

Answers

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

The circumference of a circle is 106.76 yards. What is the circle's radius?

Answers

Answer:

The answer is 16.99

Answer:

It's 17!

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

-9p+3

plz mark me as brainliest

Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?

Answers

He ate 9.45g of sugar

3.5 x 2.7 = 9.45

Answer:

19.95

Step-by-step explanation:

5.7 times 3 = 17.1

5.7 ÷ 2 = 2.85

17.1 + 2.85 = 19.95

Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?

Answers

Options:

A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22

Answer:

A. 18, 20, 20, 22, 25

Step-by-step explanation:

Required

Which list has a mean of 21 and median of 20

Each of the list have 5 numbers and they've all been sorted.

The median is the number at the 3rd position (i.e. the middle number)

So, list C and D are out because they do not have a median of 20.

Next, calculate the mean of lists A and B

[tex]\bar x = \frac{\sum x}{n}[/tex]

A. 18, 20, 20, 22, 25

[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]

[tex]\bar x = \frac{105}{5}[/tex]

[tex]\bar x = 21[/tex]

B. 20, 20, 20, 25, 25

 [tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]

[tex]\bar x = \frac{110}{5}[/tex]

[tex]\bar x = 22[/tex]

Only list A has a median value of 20 and a mean value of 21

PLEASE HELP due in a few hours!!

Answers

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

a whole number that is a factor of two or more numbers is called a

Answers

Answer: Common factor

common factor. a whole number that is a factor of two or more nonzero whole numbers

Step-by-step explanation:

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: common \: factor \: }}}}}[/tex]

a whole number that is a factor of two or more numbers is called a common factor.

Write the following answers in the form ' x/y or p%'

Answer

Answers

It’s bro 5!59 13 so time to you to get F

Joses his yearly wages were $50 more than marks, so he earned 16,815.43. Yet he said his taxes are the same as marks. Is he right? How can you tell?

Answers

Answer:

No

Step-by-step explanation:

This depends on many other things but in a basic tax bracket, both Joses and Mark both fall under the 12% tax bracket. This is for individuals who make a yearly salary between $9,876 to $40,125, in which the taxes would be 12% of the yearly salary. Since this is percent based, their taxes would not be the same, they would be close but Mark would still end up paying a little bit more since he made more money.

4r + 9s + r+ r+ r+ r+r

Answers

Answer:

9  +  9

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

if m < c = 147 , determine m < e

a) 147
b) 57
c) 33
d) 180


Answers

Answer:

c) 33

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given angle from 180°. To find the other angle (in your case, ∠e), use the ∠y = 180° – ∠x where ∠x is the given angle.

Answer:

c)33

Step-by-step explanation:

hi please help i’ll give brainliest

Answers

Answer:

between Jupiter and mars

Answer:

Choice A

Step-by-step explanation:

The Asteroid Belt in our Solar System is in-between the planets Jupiter and Mars.

The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars, that is occupied by a great many solid, irregularly shaped bodies, of many sizes but much smaller than planets, called asteroids or minor planets.

the Median.)
Find quartile 2 using the data below:
23, 45, 52, 28, 42, 87, 56, 32, 48, 55, 24, 63, 68, 76, 67

Answers

Answer:

52

Step-by-step explanation:

if you put the numbers in order from least to greatest you'll see that 52 is in the middle

Victoria ate 4\16 of a small pizza for lunch. How is this fraction written as a decimal?​

Answers

Answer:

0.25

Step-by-step explanation:

4/16 --> 1/4 and 1/4 = 0.25

HELPPP (will mark brainliest)
Vera wants to prove that any rectangle is also a parallelogram.
B
A
D
Select the appropriate rephrased statement for Vera's proof.
Choose 1 answer:

Answers

Answer:

B

Step-by-step explanation:

I did it on khan academy


What is the theoretical probability of rolling a 3 on a die?

Answers

Answer:

1/6 or 16.67% chance

Step-by-step explanation:

Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.

I need help with this 2 questions can someone help me pls I need it !!!!!

Answers

Answer:

8. center: (-7,5)

radius: 9

Step-by-step explanation:

8. to find the center, you need to get the equation in the form of (x-h)^2+(y-k)^2=r^2

you can do this by completing the square:

x^2+y^2+14x-10y-7=0

x^2+14x+49+y^2-10y+25=7+49+25

(x+7)^2+(y-5)^2=81

so, the center is (-7,5) and the radius is 9

Use the triangle shown to answer the questions that follow.
15 m
X
32
a) Using the 32° as the reference angle, label the hypotenuse (h), adjacent (a) and opposite (0).
b) Which trig function (cos, sin, or tan) could be used to solve for x?
c) Solve for x.

Answers

Answer/Step-by-step explanation:

a. Given that 32° is the reference angle, thus:

Hypotenuse is the side opposite to the right angle

Opposite side is opposite to the defence angle = x

Adjacent side is adjacent to defence angle = 15 m

b. Recall SOHCAHTOA.

We know the length of the adjacent side. We are asked to find x, which is the opposite side. So, we are dealing with Opposite side and Adjacent side.

The trigonometric function we will use to find x would be TOA:

That is,

Tan θ = Opp/Adj

c. Applying TOA:

Tan θ = Opp/Adj

θ = 32°

Opp = x

Adj = 15 m

Plug in the values

Tan 32 = x/15

15 × Tan 32 = x

9.37304028 = x

x = 9.4 (nearest tenth)

Sarah is building a birdhouse the nails she uses are 1 inch long the wood board is 1 foot long how many times smaller is the nails compared to the wood ​

Answers

The nail is 12 times smaller than the wood board

help me plz and thank you

Answers

Answer:

6

10

Step-by-step explanation:

30 5 6

70 7 10

8 z
6
OD
UN
4 3
N
1 2 3 4 5 6 7 8 9
x
Which two equations represent the situation?
o y=jx and y=x-4
o =
O y=3+ and y = X+4
O y = 3x and y = x+4
O y = 3x and y = x-4

Answers

Answer:

Step-by-step explanation:

i don't understand. please help​

Answers

Answer: 5m

Step-by-step explanation:

The Initial water level means that level amount when the time equal to 0hrs, which is 5m.

The initial water meter means that level amount when the time equals 0hrs which equals 5m

What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?

Answers

Answer:

400 inches

Step-by-step explanation:

Area of all sides and add them

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