Exponential and Linear Function

Decide whether the word problem represents a linear or exponential function. . “A library has 8000 books, and is adding 500 more books each year.”

• Linear

• Exponential

“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.

• Linear

• Exponential

“A bank account starts with $10. Every month, the amount of money in the account is tripled.” Write an equation to represent this situation

• y=3(10)^x

• y=10(3)^x

• y=10(1.3)^x

• y=3x+10

“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 or exponential?

• Linear

• Exponential

Identify the Relationship:

2, 4, 6, 8, 10,

• Linear

• Quadratic

• Exponential

• None

Write an equation to represent the below situation “A library has 8000 books, and is adding 500 more books each year.”

• y=8000-500x

• y=8000*50^x

• y=500x+8000

• y=8000(1.5)^x

A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the experiment, there are 50 mold cells. Each time a periodic observation is made, the number of mold cells triples. For example, at observation #1, there are 150 mold cells.

• Linear

• Exponential

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x