Quiz about Linear Function Applications

Question 1

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

Accepted Answer

c = 2.75b + 4

Answer

c = 2.75b

Answer

c =  4b- 2.75

Answer

c = 2.75b - 4

Question 2

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

Accepted Answer

y = 48x +140

Answer

y = 140x +48

Answer

y = -48x +140

Answer

y = 48x

Question 3

A pizza shop charges $12 per pizza and a delivery fee of $4.

Which equation represents the cost, c, for any number of pizzas, p?

Accepted Answer

c = 12p + 4

Answer

c = 4p + 12

Answer

c = 16p

Answer

p = 12 + 4 + c

Question 4

A car rental company charges $56 plus $0.30 per mile driven.

Write a linear function to model this situation.

Accepted Answer

y = 0.30x + 56

Answer

y = 56x + 0.30

Answer

56x + 0.30y = 86

Answer

y = 56 - 0.30x

Question 5

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

Accepted Answer

C = 2h + 15

Answer

h = 2C + 15

Answer

C = 15h + 2

Answer

h = 15C + 2

Question 6

A man is climbing down from 100 feet high descending 30 feet per minute. Which function models his descent?

Accepted Answer

y = 100 - 30x

Answer

y = 100 + 30x

Answer

y = 100x + 30

Answer

y = 100x - 30

Question 7

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
y = -3.8x + 290

Accepted Answer

236.8

Answer

80

Answer

-80

Answer

72.6

Question 8

What is the meaning of the slope in the context of the problem?

Accepted Answer

It costs $3 for each book.

Answer

The cost of 3 books.

Answer

Each book costs $1.

Answer

$1 for 3 books.

Question 9

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 10

Derrick started a new job at McDonald's. He makes $10 per hour. What is the independent variable?

Accepted Answer

number of hours

Answer

amount paid

Question 11

Abby decides to get a magazine subscription. It costs her $2 per magazine plus an initial fee of $3. Define the variables

Accepted Answer

y=the cost, x=the number of magazines

Answer

y=the number of magazines, y=the cost

Question 12

On a graph, which axis shows the dependent variable?

Accepted Answer

y-axis

Answer

x-axis

Answer

neither

Answer

it changes

Question 13

On a graph, which axis shows the independent variable?

Accepted Answer

x-axis

Answer

y-axis

Answer

neither

Answer

it changes

Question 14

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.

t = the number of treats

s = the number of students

Which of the variables is INDEPENDENT?

Accepted Answer

s

Answer

t

Question 15

Question 15.

Accepted Answer

the dependent variable is distance

Answer

the independent variable is distance

Answer

the independent variable is d=25 t

Answer

the dependent variable is time

Question 16

Jimmy earned $8 for every pizza he delivers.

m = money (dollars)

p = number of pizzas delivered

The dependent variable is:

Accepted Answer

m = money

Answer

p = number of pizzas delivered

Question 17

Emma gets one sticker for every paper she completes.

s = stickers earned

p = papers completed

The independent variable is:

Accepted Answer

p = papers completed

Answer

s = stickers earned

Question 18

The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?

Accepted Answer

The dependent variable is total cost

Answer

The dependent variable is weight

Answer

The independent variable is total cost

Answer

The independent variable is cost of a package

Question 19

Zach and his friends are at an arcade and are redeeming their tickets for prizes. The number of prizes they can get is calculated based on how many tickets they have won.

p = the number of prizes the friends can get

t = the number of tickets the friends have won

Accepted Answer

t is the independent variable and p is the dependent variable

Answer

p is the independent variable and t is the dependent variable

Question 20

Belle manages the Hancock Orchard, which produces many different types of fruit, including pears. The more pear trees that have been planted in the orchard, the more barrels of pears the orchard will produce.

p = the number of pear trees that have been planted in the orchard

b = the number of barrels of pears the orchard will produce

Accepted Answer

p is the independent variable and b is the dependent

Answer

b is the independent variable and p is the dependent

Linear Function Applications

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