Quiz about Relationships Between Variables

Question 1

Mr. Ramierz is filling his swimming pool with water. The table shows the number of gallons of water w in the swimming pool after t minutes. If the pattern in the table continues, how many gallons of water w will be in the pool after 10 minutes?

Accepted Answer

600 gallons

Answer

6 gallons

Answer

69 gallons

Answer

2,400 gallons

Question 2

Colton earns $9 per hour mowing lawns. The total amount earned t equals the amount earned per hour times the number of hours h. Which equation gives the total amount earned t if Kenneth works h hours?

Accepted Answer

t = 9h

Answer

h = 9t

Answer

t = 9 + h

Answer

h = 9 + t

Question 3

How many people n would be seated in each section if there were 27 total people in the gym?

Accepted Answer

9

Answer

7

Answer

8

Answer

10

Question 4

The table shows the total charges c for an overdue library book after d days. If the pattern in the table continues, what is the total charge c for an overdue library book after 12 days?

Accepted Answer

$0.96

Answer

$0.40

Answer

$0.64

Answer

$0.88

Question 5

For what number of days d will the total charges for an overdue library book be $2.40?

Accepted Answer

30

Answer

24

Answer

8

Answer

5

Question 6

The linear equation y = 5x represents the cost y in dollars of x pounds of dog food. Which ordered pair lies on the graph of the equation?

Accepted Answer

(3,15)

Answer

(3,10)

Answer

(2,3)

Answer

(2,12)

Question 7

Brilee drives at a rate of 60 miles per hour. She lets x represent the time in hours and y represent the number of miles driven. Which ordered pair is a point on the graph of the relationship?

Accepted Answer

(4, 240)

Answer

(60,1)

Answer

(3, 120)

Answer

(2, 60
(2, 60)

Question 8

Meg wants to rent a bike. Bike rental costs $1.25 per hour plus a one-time fee of $3. Which equation represents the relationship between the number of hours h Meg rents the bike and the total cost c?

Accepted Answer

c = 1.25h + 3

Answer

h = 1.25c + 3

Answer

h = 3c + 1.25

Answer

c = 3h + 1.25

Question 9

DVDs cost $15 each. Porter graphs the relationship that gives the cost y in dollars of buying x DVDs. Which ordered pair is a point on the graph of the relationship?

Accepted Answer

(3,45)

Answer

(0,15)

Answer

(2,3)

Answer

(15,3)

Question 10

The linear equation y = 10x represents the total number of points y scored on a quiz if x questions are correct. Which ordered pair lies on the graph of the equation?

Accepted Answer

(7,70)

Answer

(10,1)

Answer

(5,2)

Answer

(4,15)

Question 11

Kady purchases a gallon of milk for $3 and some tomatoes for $2 per pound from the grocery store. Which equation represents the relationship between the number of pounds p of tomatoes purchased and the total amount a Kady spent at the grocery store?

Accepted Answer

a = 2p + 3

Answer

p = 3a + p

Answer

a = 3p + 2

Answer

p = 2a + 3

Question 12

Posters cost $7 each. Adrian graphs the relationship that gives the cost y in dollars of buying x posters. Which ordered pair is a point on the graph of the relationship?

Accepted Answer

(9, 63)

Answer

(3,10)

Answer

(5, 15)

Answer

(8, 52)

Question 13

A bowling alley charges $1.50 for shoes rental and $2 per game. The table shows the total cost y of bowling x games. Which equation could be used to find the total cost y of bowling x games?

Accepted Answer

y = 2x+1.5

Answer

y = 1.5x + 2

Answer

y = x + 2

Answer

y = x + 1.5

Question 14

What is the total cost y of bowling 3 games?

Accepted Answer

$7.50

Answer

$6.50

Answer

$5.00

Answer

$4.50

Question 15

Stan reads 3 books each month. Which ordered pair is a point on the graph that shows the relationship between the total number of books y Stan reads in x months?

Accepted Answer

(5, 15)

Answer

(9,3)

Answer

(4, 7)

Answer

(3, 1)

Question 16

The table shows the amount of flour x that Megan uses for y dozen cookies. If the pattern in the table continues, how many cups of flour x does Megan use for 20 dozen cookies?

Accepted Answer

7 cups

Answer

6 cups

Answer

17 cups

Answer

24 cups

Question 17

Nathaniel earns $12 per hour at his summer job. The linear equation y = 12x represents his earnings y for x hours of work. Which ordered pair lies on the graph of the equation?

Accepted Answer

(8, 96)

Answer

(0, 12)

Answer

(4, 16)

Answer

(12, 1)

Question 18

A car wash charges $10 for a regular wash. A graph shows the relationship that gives the amount earned y at the car wash from x regular washes. Which set of ordered pairs lies on the graph of the relationship?

Accepted Answer

(1,10), (2, 20), (4, 40), (5, 50)

Answer

(0,10), (2, 5), (10, 1), (20, 2)

Answer

(1,9), (2,8), (3, 7), (4, 6)

Answer

(1,11), (2, 12), (3, 13), (4, 14)

Question 19

The cost to operate a printer per page printed is $0.20. The table shows the total cost c based on the number of pages p printed. What is the total cost c to operate the printer if 420 pages are printed?

Accepted Answer

$84

Answer

$60

Answer

$470

Answer

$670

Question 20

The linear equation y = 4x represents the number of pounds of clay y needed to make x bowls. Which ordered pair lies on the graph of the equation?

Accepted Answer

(6,24)

Answer

(0,4)

Answer

(2,2)

Answer

(4,1)

Question 21

Taya is charged a $5 rental fee and $2 per hour to rent skates. Which equation gives the total cost y in dollars for renting skates for x hours?

Accepted Answer

y = 2x + 5

Answer

y = 5x + 2

Answer

y = 2x - 5

Answer

y = 5x - 2

Question 22

Spencer uses 3 tickets for each ride at the county fair. Which equation models the total number of tickets t he uses for r rides?

Accepted Answer

t = 3r

Answer

r = 3t

Answer

t = 3 + r

Answer

r = 3 + t

Relationships Between Variables

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