Linear vs Exponential Functions

Write an equation to represent the following. “A gym’s customers must pay $50 for a membership, plus $3 for each time they use the gym.” Decide whether the word problem represents a linear or exponential function.

• y=50x+3

• y=3x+50

• y=50(1.3)^x

• y=50(3^x)

“At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.”

• Linear

• Exponential

“There are 20,000 owls in the wild. Every decade, the number of owls is halved.” Can this be modeled with a linear or exponential equation?

• Linear

• Exponential

Julie gets a pre-paid cell phone. Initially she has a $40.00 balance on the phone. Each minute of talking costs $0.15.

• Linear

• Exponential

Julie gets a pre-paid cell phone. Initially she has a $40.00 balance on the phone. Each minute of talking costs $0.15. Linear or exponential?

• y=40x+.15

• y=40-.15x

• y=40(1.015)^x

• y=40+.15x

• y=40(.15)^x

A car is traveling at a constant speed of 60 miles per hour. Is this an example of a linear or exponential function?

• linear

• exponential

The temperature outside decreases by 3 degrees Fahrenheit every hour. Is this an example of a linear or exponential function?

• linear

• exponential

Determine if the graph is linear or exponential.

• Linear

• Exponential

Is function represented by the table linear or exponential?

• linear

• exponential

Is this graph a linear or exponential function?

• exponential

• linear