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Average Rate of Change Exponential

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Average Rate of Change Exponential
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

4.

OPEN ENDED QUESTION

1 min • 1 pt

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

20

100

300

600

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

9

10

11

12

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

21

-21

1/21

-1/21

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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