Quiz about Growth and Decay Problems

Question 1

Marburn has 80 total students in our High School. It is projected to grow at rate of 2% every year. How many students will be in the High School in 5 years from now?

Accepted Answer

88.3 students

Answer

72.3 students

Answer

199.1 students

Answer

80 students

Question 2

The population of a town is decreasing at a rate of 5% per year. This year there are 10,000 people in this town, how many people will be left in 20 years from now? (round to the nearest whole number)

Accepted Answer

3,585 people

Answer

26,533 people

Answer

358 people

Answer

1 person

Question 3

What does "r" stand for in the exponential growth formula?

Accepted Answer

rate of growth

Answer

final amount

Answer

time

Answer

original amount

Question 4

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

Accepted Answer

34,170

Answer

16,348

Answer

7690

Answer

76,023

Question 5

Determine if the function is increasing or decreasing. Then, tell the rate by which the function is increasing or decreasing by. Select all that apply.

Accepted Answer

Increasing

Accepted Answer

$$1.5\%$$

Answer

Decreasing

Answer

$$15\%$$

Answer

$$1.015\%$$

Question 6

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

Accepted Answer

0.3

Answer

10

Answer

1

Answer

3

Question 7

Determine if the function is increasing or decreasing. Then, tell the rate by which the function is increasing or decreasing by.

Select all that apply.

Accepted Answer

Decreasing

Accepted Answer

$$0.05\%$$

Answer

Increasing

Answer

$$0.9995\%$$

Answer

$$5\%$$

Question 8

The function shows the growth of a fruit fly population. f(t) is the number of fruit flies after t days.

What is the initial population of the fruit flies?

Accepted Answer

Answer

Answer

Answer

Question 9

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 10

Which of the following could be represented by A=200(1.1)^t

Accepted Answer

I started with $200 and gained 10% per week

Answer

I started with $200 and lost 1% per week

Answer

I started with $200 and lost 10% per week

Answer

I started with $200 and gained 1% per week

Question 11

Growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 12

What type of function is $$f(x)=2\left(\frac{1}{7}\right)^x$$ ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 13

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

Accepted Answer

604

Answer

777

Answer

29

Answer

198

Question 14

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

Accepted Answer

25,082

Answer

12,937

Answer

62,000

Answer

43,511

Question 15

Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

Accepted Answer

$2.05

Answer

$45.79

Answer

$1.99

Answer

$7.51

Growth and Decay Problems

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