Linear vs Exponential Word Problems

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

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 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

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. C

• y=50x+3

• y=3x+50

• y=50(1.3)^x

• y=50(3^x)

“A bank account starts with $10. Every month, the amount of money in the account is tripled.” Is this a linear situation or an exponential situation?

• 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

“At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.” Write an equation to represent this situation

• y=50x+6

• y=6x+50

• y=50-6x

• y=50(6)^x

• y=50(.94)^x

“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

“There are 20,000 owls in the wild. Every decade, the number of owls is halved.” Write an equation to model this situation

• y=20000-(1/2)x

• y=20000+(1/2)x

• y=20000(0.5)^x

• y=20000(50)^x