Linear or 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

“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 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

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)

If the population of a city is 50,000 and grows at a continuous rate of 3% per year, what will be the population after 5 years?

• 58,091

• 55,000

• 60,000

• 50,000

Read the word problem below and determine which function is a correct representation.

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. What type of equation shows the total amount of income the salesperson earns, if he sells x machines in a year.

• Linear

• Quadratic

• Exponential

The equation Q = 12e^{-.09t is given to show the amount of an element remaining after t years. how long will it take for the element to reach 3 mg?}

• 4.5 years

• 12.7 years

• 2.7 years

• 15.4 years

“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

"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