Solutions Linear and Exponential

This table shows the input and output values for a linear function f(x)

• -30

• -25

• 1

• 20

This table shows the input and output values for an exponential function f(x)

What is the ratio of outputs for any two inputs that are one value apart?

• 2

• 4

• 1/2

• 1/8

Function f is shown in the table. What type of function is f?

• Linear

• Exponential

• Neither linear nor exponential

The table represents an exponential function. What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller output

Enter your answer, as a decimal to the nearest hundreth in the box

• 1.15

• 0.93

• 1.14

• 1.16

Which situations can be represented by a linear function?

Select each correct answer

• A country's population increases by 0.8% each year

• The barrel leakes 0.5 L of water each day

• Every day, the number of bacteria in the dish is 3 times what it was the previous day

• Every year, Luisa puts $10 into her savings account

This table shows input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

• -1

• 0.25

• 0.5

• 1

The table shows the input and output values for an exponential function f(x)

What is the ratio of outputs for any two inputs that are one value apart?

• -2

• 4

• 2

• -1/2

Function f is shown in the table. What type of function is f?

• Exponential

• Linear

• Neither linear nor exponential

This table represents an exponential function. What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller input

Enter your answer as a decimal to the nearest hundreth in the box

• 1.11

• 1.05

Which situations can be represented by an exponential function?

Select each correct answer

• In a structure made of soup cans, each row has 6 more cans than the previous row

• Every year, the number of online subscribers to a service is 4 times what it was the previous year

• The value of a motorcycle decreases by 12% each year

• A doctor's office accept 20 new patients each month