Free Printable A1 M5 D4 Exponential Applications

Worksheets

A1 M5 D4 Exponential Applications

Total questions: 19

Worksheet time: 38mins

Name

Class

Date

What is the y-intercept of the function?

-2

Is this exponential growth or decay?

Growth

Decay

In an exponential function, what does the 'a' represent?

Slope

Rate of change

Starting Amount

Growth/Decay Factor

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

Is this exponential growth or decay?

Growth

Decay

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(0.14)^x

y=6(1+14)^x

y=6(1.14)^x

y=6(0.86)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

9766

9006

9765

5433

Does the following equation model growth or decay?
y = 500(.35)^x+ 7

Growth

Decay

Each year the local country club sponsors a tennis tournament. Play starts with 256 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?

10.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

y= 7650(.14)³

y= 7650(.86)³

y= 7650(1+.86/1)^3*1

11.

Identify the percent (%) increase or decrease for the following function.

f(x) = 35 (1 – 0.06)^x

Increase by 6%

Decrease by 0.06%

Increase by 0.06%

Decrease by 6%

12.

Identify the percent (%) increase or decrease for the function below:

f(x) = 3000 (1.17)^x

Increase by 0.17%

Increase by 17%

Decrease by 17%

Decrease by 0.17%

13.

A certain college has been raising tuition every year since the year it opened. The function T = 12,000 (1.03)^x represents the tuition, T, after x years.

If the college opened in the year 1990, what would you predict the tuition will be in the year 2020?

$29,127

$2,020

30 years

14.

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have after half of a day?

1024

2048

8192

4096

15.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

y= 7650(.14)³

y= 7650(.86)³

y= 7650(1+.86/1)^3*1

16.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

y=8(15,000)^x

y=15,000(1.08)^x

y=15,000(0.92)^x

y=15,000(0.08)^x

17.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

18.

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

5.4 mg

68.6 mg

.0054 mg

2,400,000 mg

19.

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

$5,884.00

$5,178.97

$2,992.96

$2,957.04

100 %

A1 M5 D4 Exponential Applications

Total questions: 19

Worksheet time: 38mins

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