Linear Exponential Word Problems

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

Tags

CCSS.HSF-BF.A.1A

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

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

Mathematical Equivalence

ON

Tags

AI.9.9.C

“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

“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

Tags

CCSS.8.F.A.3

“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

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

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

Tags

CCSS.7.EE.B.4A