Quiz about Average Rate of Change Exponential

Question 1

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.

Accepted Answer

-38 decks per day

Answer

38 decks per day

Answer

-0.03 decks per day

Answer

0.03 decks per day

Question 2

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.

Accepted Answer

-63 decks per day

Answer

-73 decks per day

Answer

-83 decks per day

Answer

-53 decks per day

Question 3

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

Accepted Answer

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.

Answer

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.

Answer

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.

Question 4

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

Accepted Answer

300

Answer

20

Answer

100

Answer

600

Question 5

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

Accepted Answer

12

Answer

9

Answer

10

Answer

11

Question 6

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

Accepted Answer

21

Answer

-21

Answer

1/21

Answer

-1/21

Question 7

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

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear Growth

Answer

Linear Decay

Question 8

What is the average rate of change between when x = -1 and x = 0?

Accepted Answer

-2

Answer

2

Answer

1/2

Answer

-1/2

Question 9

James bought a car worth $22,000 that loses 10% of its value every year. The value of the car after x years can be modeled by the function f(x) = 22,000(.9)^x.

What is the average rate of change between 0 and 4 years?

Accepted Answer

$-1,891.45/year

Answer

$-1,100/year

Answer

$-1521.12/year

Answer

$-1,776/year

Question 10

What is the average rate of change of the graph over the interval [-2,0]?

Accepted Answer

-3/2

Answer

2/3

Answer

3/2

Answer

-2/3

Question 11

Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)^x. On average, how fast is the population increasing between years 0 and 10?

Accepted Answer

239.06 people/year

Answer

212.12 people/year

Answer

251.11 people/year

Answer

391.29 people/year

Question 12

Find the average rate of change over the given interval [0, 3].

Accepted Answer

7/3

Answer

4

Answer

7

Answer

3/7

Question 13

Find the average rate of change over the given interval [-1, 1].

Accepted Answer

1.5

Answer

3

Answer

1

Answer

0.67

Question 14

Find the average rate of change over the given interval [1, 2].

Accepted Answer

-2

Answer

2

Answer

-1

Answer

-0.5

Question 15

Find the average rate of change for the table above for the interval [-4,-1].

Accepted Answer

-84

Answer

$$-\frac{1}{84}$$

Answer

-54

Answer

$$-\frac{1}{54}$$

Question 16

What type of pattern do exponential functions have?

Accepted Answer

Multiplies by the same number every time

Answer

Adds by the same number every time

Answer

Square roots all the inputs

Answer

Squares all the inputs

Average Rate of Change Exponential

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