Average Rate of Change Exponential

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Calculate the average rate of change from day 15 to day 20.

• -38 decks per day

• 38 decks per day

• -0.03 decks per day

• 0.03 decks per day

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Calculate the average rate of change from day 5 to day 20.

• -63 decks per day

• -73 decks per day

• -83 decks per day

• -53 decks per day

Overall, how would you describe the differences in average rate of changes of the deck of cards per day.

• The average rate of change from d =0 to d = 5 is less than the average rate of change from d = 15 to d = 20.

• The average rate of change from d =0 to d = 5 is greater than the average rate of change from d = 15 to d = 20.

• The average rate of change from d =0 to d = 5 is similar to the average rate of change from d = 15 to d = 20.

An initial investment of $1000 reaches a value, V(t), according to the model V(t) = 1000(1.01)^(4t), where t is the time in years. Determine the average rate of change, to the nearest dollar per year, of this investment from year 2 to year 7.

Evaluate responses using AI:

OFF

What is the average rate of change of the function from x=2 to x=4?

• 20

• 100

• 300

• 600

What is the average rate of change between x = 1 and x = 2?

• 9

• 10

• 11

• 12

What is the average rate of change over the interval [0,3]?

• 21

• -21

• 1/21

• -1/21

Mathematical Equivalence

ON

Find the average rate of change for the interval [0, 3] for the function given below.

f(x) = 3^{x + 7} + 10

Based on this table, how would you describe the relationship between decks of trading cards and days?

• Exponential Decay

• Exponential Growth

• Linear Growth

• Linear Decay