5: Chapter 9 Relationships Between Variables

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?

• 6 gallons

• 69 gallons

• 600 gallons

• 2,400 gallons

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?

• t = 9h

• h = 9t

• t = 9 + h

• h = 9 + t

The graph shows the distance y a cyclist traveled over a period of time x in hours. Which linear equation represents the relationship shown by the graph?

• y = x + 19

• y = x + 20

• y = x ÷ 20

• y = 20x

The table shows the number of people n seated in each section of the gym depending on the total number of people p in the gym. Which equation could be used to find the number of people n that are seated in each section of the gym?

• n = 3p

• n = p ÷ 3

• n = p - 6

• n = p - 12

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

• 7

• 8

• 9

• 10

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?

• $0.40

• $0.64

• $0.88

• $0.96

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

• 30

• 24

• 8

• 5

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?

• (3,15)

• (3,10)

• (2,3)

• (2,12)

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?

• (60,1)

• (4, 240)

• (3, 120)

• (2, 60
  (2, 60)

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?

• h = 1.25c + 3

• c = 1.25h + 3

• h = 3c + 1.25

• c = 3h + 1.25