Quiz about Exponential Decay and Growth

Question 1

A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years.

Accepted Answer

6,719

Answer

9,689

Answer

52,428

Answer

5,150

Question 2

Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded annually. Find the account balance after 5 years.

Accepted Answer

1415

Answer

2489

Answer

1598

Answer

37073984

Question 3

The population of Smalltown in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year. What was the population of Smalltown in the year 1915?

Accepted Answer

15,688

Answer

14,658

Answer

24,000

Answer

25,369

Question 4

A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present. How much of the substance remains after 30 years.

Accepted Answer

8.58

Answer

7.25

Answer

172.87

Answer

9.36

Question 5

In the equation $$y\ =\ a\ \left(1-r\right)^t$$ , What does the r represent?

Accepted Answer

rate

Answer

time

Answer

initial value

Question 6

Question 6.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 7

Question 7.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 8

A population of ants quadruples every day. Initially, there are 10 ants.

Accepted Answer

$$y\ =\ 10\ \left(4\right)\ ^x$$

Answer

$$y\ =\ 4\left(10\right)^x$$

Answer

$$y\ =\ 10\ \left(x\right)\ ^4$$

Answer

y = 10 (2) * 4

Question 9

James has a 70 inch giant peach. It doubles in size every week. Write an expression that would represent how big the peach is after x weeks.

Accepted Answer

$$y\ =\ 70\ \left(2\right)\ ^x$$

Answer

y = 2 (10)

Answer

$$y\ =\ 2\ \left(10\right)\ ^x$$

Answer

y = 70 (2)

Question 10

You have inherited land that was purchased for $30,000. The value of the land increased by approximately 5% per year. What is the approximate value of the land 51 years later?

Accepted Answer

$361,223

Answer

$150,000

Answer

$319,500

Answer

$25,500

Exponential Decay and Growth

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