Free Printable Exponential and Linear Growth

1.

Identify the equation that best models the growth of Species X

a)

$y=5\left(3\right)^x$

b)

$y=5\left(10\right)^x$

c)

$y=3\left(5\right)^x$

d)

$y=3+5x$

2.

Does the table show an exponential function pattern?

a)

Yes, there is a constant factor of 3

b)

Yes, there is a constant factor of 4

c)

No, it is linear there is a constant rate of change of 4

d)

No, there is no pattern

3.

Does the table show an exponential function pattern?

a)

Yes, there is a constant factor of 2

b)

Yes, there is a constant factor of -2

c)

No, it is linear there is a constant rate of change of 2

d)

No, there is no pattern

4.

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?

a)

$100$

b)

$1.05$

c)

$105$

d)

$95$

5.

Which equation best matches the graph?

a)

y=2(2)^x

b)

y=(1/2)^x

6.

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does NOT appear to be true?

a)

The coffee company had opened 400 stores by the end of 1992.

b)

The coffee company opened 100 stores in one year.

c)

Every year the number of stores the coffee company opened increased by 25%.

d)

Since 1992 the coffee company has opened 250 stores each year.

7.

Choose the correct graph for the situation for problem #4.

a)

b)

c)

d)

e)

8.

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

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

9.

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.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

10.

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does NOT appear to be true?

a)

The coffee company had opened 400 stores by the end of 1992.

b)

The coffee company opened 100 stores in one year.

c)

Every year the number of stores the coffee company opened increased by 25%.

d)

Since 1992 the coffee company has opened 250 stores each year.

11.

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases?

a)

b)

c)

d)

12.

a)

b)

c)

d)

13.

What type of function best models the situation:

A zombie virus has infected the population and the number of infected people triples every day.

a)

Linear

b)

Quadratic

c)

Exponential growth

d)

Exponential Decay

14.

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

a)

$100$

b)

$1.05$

c)

$105$

d)

$5$

15.

How many fruit flies are in the population after 7 days (1 week)?

a)

140 flies

b)

105 flies

c)

101 flies

d)

735 flies

16.

When will the fruit fly population reach 250 flies?

a)

Between 17 and 18 days

b)

Between 18 and 19 days

c)

Between 19 and 20 days

d)

Between 20 and 21 days

17.

The growth factor in the exponential function is...

(a)

18.

The y-intercept in the exponential function is...

(a)

19.

Select the graph(s) that show an exponential function.

a)

b)

c)

Exponential and Linear Growth

Total questions: 19

Worksheet time: 19mins

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