Free Printable Exponential vs Linear

1.

The data shown in the table below represents either a linear or exponential function. Which of the equations below best models this data?

a)

$y=5\left(2\right)^x$

b)

$y=10\left(2\right)^x$

c)

$y=2x+10$

d)

$y=10x+5$

2.

Two functions are shown in the table to the right. Which of the following statements is true?

a)

f(x) is linear and g(x) is exponential

b)

f(x) is exponential and g(x) is linear

c)

f(x) and g(x) are both linear

d)

f(x) and g(x) are both exponential

3.

The number of cookies in a cookie jar is decreasing over time. Which of the following functions could model c(x), the number of cookies left after x days?

a)

$c\left(x\right)=88^x$

b)

$c\left(x\right)=88\left(1.12\right)^x$

c)

$c\left(x\right)=88\left(2\right)^x$

d)

$c\left(x\right)=88\left(0.87\right)^x$

4.

Given a linear function $f\left(x\right)=3x$ and an exponential function $g\left(x\right)=3^x$ , which function has a constant rate of change?

a)

f(x)

b)

g(x)

c)

both

d)

neither

5.

Given a linear function $f\left(x\right)=3x$ and an exponential function $g\left(x\right)=3^x$ , which function has a y-intercept at (0,0)?

a)

f(x)

b)

g(x)

c)

both

d)

neither

6.

A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour. Is this an example of exponential growth or exponential decay?

a)

exponential growth

b)

exponential decay

7.

A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour.

Write an exponential function to model this Monday flu outbreak.

a)

$y=20\left(1.25\right)^x$

b)

$y=20\left(.75\right)^x$

c)

$y=25\left(1.2\right)^x$

d)

$y=20^x$

8.

A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour. How many students will be ill after 6 hours if this pattern continues?

a)

76 students

b)

74 students

c)

4 students

d)

1 student

9.

At the end of last year, the population of Jason’s hometown was approximately 75,000 people. The population is growing at a rate of 2.4% each year. Which equation models the growth of this city?

a)

$y=75000\left(1.24\right)^x$

b)

$y=75000\left(0.76\right)^x$

c)

$y=75000\left(1.024\right)^x$

d)

$y=75000\left(0.976\right)^x$

10.

At the end of last year, the population of Jason’s hometown was approximately 75,000 people. The population is growing at a rate of 2.4% each year. How many years will it take for the population to reach 100,000 people?

a)

2 years

b)

13 years

c)

10 years

d)

3 years

Exponential vs Linear

Total questions: 10

Worksheet time: 5mins

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