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Exponential Word Problems and Rational Exponent Equations

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

a)

$9,004.07

b)

$2,2848.80

c)

$9,011.94

d)

$8,242.71

2.

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

a)

$5,884.00

b)

$5,178.97

c)

$2,992.96

d)

$2,957.04

3.

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

a)

4 people.

b)

22,972 people.

c)

1,169,030 people.

d)

1,188,311 people.

4.

A newly launched clothing line is rapidly increasing in popularity. Every month, 20% more items of clothing are sold. If 89,090 items were sold this month, how many will be sold in 9 months from now? If necessary, round your answer to nearest whole number.

a)

74,278 items.

b)

11,957 items.

c)

319,226 items.

d)

459,685 items.

5.
The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?
a)
1,069 people
b)
894 people
c)
816 people
d)
854 people
6.

Solve for V

a)

v=-81

b)

v=81

c)

v=9

d)

v=3

7.

Solve for x

a)

x=27

b)

x=-3

c)

x=81

d)

x=3

8.

Solve for x:
(x−2)13−3=−5\left(x-2\right)^{\frac{1}{3}}-3=-5  

a)

x = -6

b)

x = 3

c)

x = 7/3

d)

x = -5

9.

3=−6+3(−15−2x)133=-6+3\left(-15-2x\right)^{\frac{1}{3}}  

Solve for x:

a)

x = 11

b)

x = 6

c)

x = -12

d)

x = -21

10.

Solve for x:

1367 = 4(x+2)32−51367\ =\ 4\left(x+2\right)^{\frac{3}{2}}-5  

a)

x = 51

b)

x = -22

c)

x = -34

d)

x = 47