6.07 Average Rate Of Change

The graph shows the value of a car at different years after Janine purchased it. Which answer is the best estimate for the average rate of change between Year 1 and Year 7?

• -$550/year

• -$400/year

• -$230/year

• -$110/year

What is the rate of change of the function f (x)=5(2)^x from x=1 to x=5?

• 37.5

• 10

What is the average rate of change of the function f (x)=480(0.3)^x from x=1 to x=5?

• 1.25

• -35.7084

The function f(x)=18000(0.52)^x represents the value of dollars of a vehicle x years after it has been purchased new. What is the average rate of change in value per year between years 4 and 8?

• -$18000/year

• -$1219.87/year

• -$304.97/year

• -$0.52/year

The function f (x) =60(1.5)^x models an animal population after x years. How does the average rate of change between Year 3 and Year 6 compare to the average rate of change between Year 0 and Year 3?

• The average rate of change is 2.25 times as fast

• The average rate of change is 3 times as fast

• The average rate of change is 1.5 times as fast

• The average rate of change is 3.375 times as fast