Proportional Relationships and Rate of Change

Which rate of change represents the following graph?

• 5 figurines on 1 shelf

• 0.5 figurines on 1 shelf

• 10 figurines on 1 shelf

• 40 figurines on 1 shelf

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

• 200 feet/hour

• 116 feet/hour

• 150 feet/hour

• 170 feet/hour

A rocket is 1 miles above the Earth in 30 seconds and 5 miles above the Earth in 2.5 minutes. What is the rockets rate of in miles per minute?

• 2 miles/minute

• 1 mile/minute

• 30 miles/minute

• 1.75 miles/minute

Michael started a savings account with $300. After 4 weeks, he had $350, and after 9 weeks, he had $400. What is the rate of change of money in his savings account per week?

• $44/week

• $10/week

• $20/week

• $11/week

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year

• 8 inches per year

• 2 years

• 4 inches per year

What is the rate of change in the equation?
y=8x+6

• 8

• 6

Bob has $150 in his savings account and saves $40 per month. What is the rate of change?

• $150

• $40 per month

• $40 per day

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

What is the meaning of the y-intercept?

• Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 

• Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 

• Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 

• Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.