Mathematics Quiz: Rate of Change and Constant of Proportionality

Calculate the rate of change when the cost of 5 apples is $10 and the cost of 8 apples is $16.

• The rate of change is $1 per apple.

• The rate of change is $2 per apple.

• The rate of change is $5 per apple.

• The rate of change is $3 per apple.

If y varies directly as x, and y = 15 when x = 3, find the constant of proportionality.

• 10

• 5

• 25

• 20

Solve for the constant of proportionality in the equation y = 4x.

• 2

• 10

• 4

• 6

Find the rate of change for the following data: Time (hours) - 1, 2, 3, 4; Distance (miles) - 50, 100, 150, 200.

• 10 miles per hour

• 25 miles per hour

• 300 miles per hour

• 50 miles per hour

Identify the constant of proportionality in the equation y = 2x.

• 10

• 5

• 3

• 2

A car travels 240 miles in 4 hours. What is the constant of proportionality for this situation?

• 60

• 90

• 30

• 120

Determine the constant of proportionality in the equation y = 3x.

• 5

• 3

• 10

• 2

If y varies directly as x, and y = 20 when x = 5, find the constant of proportionality.

• 15

• 4

• 10

• 25

Solve for the constant of proportionality in the equation y = 5x.

• 3

• 5

• 2

• 10

Calculate the rate of change when the temperature increases from 20°C to 35°C in 2 hours.

• 5°C per hour

• 10°C per hour

• 3.5°C per hour

• 7.5°C per hour