Free Printable More Exponential Word Problems

1.

The population of Winnemucca, Nevada, can be modeled by $P\left(t\right)=6191\left(1.04\right)^t$ where t is the number of years since 1990. Select all the statements that are true about this situation

a)

There growth factor per day is 1.04.

b)

The growth factor per year is 1.04.

c)

There was 6191 people living in Winnemucca in 1990.

d)

In 1991 there were about 6438 people living in Winnemucca

e)

The growth factor per hour is $1.04^{\frac{1}{24}}$

2.

A city doubles its size every 64 years. If the population is currently 225,000, what will the population be in 128 years?

a)

The population will be 225,000.

b)

The population will be 450,000.

c)

The population will be 900,000.

d)

The population will be 1,800,000.

3.

The original value of a painting is $1400, and the next year it increased to $1526. Write an exponential growth function to model this situation for y in x years.

a)

y=1400(1.09)^x

b)

y=1.09(1400)^x

c)

y=1400(.91)^x

d)

y=1.09^x

4.

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 to 12 in 2 weeks.

a)

$y=6\left(2\right)^x$

b)

$y=6\left(\sqrt{2}\right)^x$

c)

$y=6\left(1+2\right)^x$

d)

$y=6\left(0.5\right)^x$

5.

Scientists measure a bacteria population and find that it is 1500. Four days later, they find that the population has doubled. Which function could describe the bacteria population days after the scientists first measured it, assuming it grows exponentially?

a)

$f\left(d\right)=1500\cdot2^d$

b)

$f\left(d\right)=1500\cdot\left(2^{\frac{1}{4}}\right)^d$

c)

$f\left(d\right)=1500\cdot\left(\frac{1}{2^{\frac{1}{4}}}\right)^d$

d)

$f\left(d\right)=1500\cdot2^{4d}$

6.

What type of function does the equation y = 2^xrepresent?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

Quadratic

7.

What type of function does the equation f(x) = 200(0.79)^x represent?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

Quadratic

8.

Is this exponential growth or decay?

a)

Growth

b)

Decay

9.

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

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

10.

The area, in square meters, of a pond covered by an algae bloom decreases exponentially after a treatment is applied. What is the value after 4 days?

a)

$13\frac{1}{3}$

b)

$20$

c)

$40\sqrt{3}$

d)

$40\sqrt{2}$

More Exponential Word Problems

Total questions: 10

Worksheet time: 34mins

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