Linear Story Problems

Ted's Taxi service charges a $5 pick up fee plus $2 per mile. What is the initial value (y-intercept)?

• $5

• $2

• $7

• $0

Kadi is starting a kayak rental company. She is going to charge $20 to rent the kayak, plus $5 per hour of rental. What is the slope and what does it represent?

• slope = 20 It represents the starting cost

• slope = 5, it represents the charge per hour

• slope = 20, it represents the charge per hour

• slope = 5, it represents the cost of the kayak

Alan buys a new car for $25,000. It depreciates at a rate of $2000 per year. Which function would I use to find the value after x years?

• y = 2000x - 25000

• y = 25000x - 2000

• y = 25000 - x

• y = -2000x + 25000

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write two point-slope form equations for the problem.

• y - 0 = 2(x - 10)

  y - 5 = 2(x - 20)

• y - 0 = 5(x - 10)

  y - 5 = 5(x- 20)

• y - 10 = 2(x - 0)

  y - 20 = 2(x -5)

• y - 10 = 6(x - 0)

  y - 20 = 6(x - 5)

Violet has an Internet business selling paint sets.  After an initial website fee each week, she makes a profit of $0.75 on each set she sells.  If she sells 8 sets and she makes $2.25; write an equation in point-slope form representing her weekly possible earnings.

• y - 2.25 = 0.75(x - 8)

• y - 8 = 0.75(x - 2.25)

• y - 8 = 2.25(x - 0.75)

• y - 0.75 = 2.25(x - 8)

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

• -5x + 7.5y = 60

• 5x + 7.5x = 60

• 5x - 7.5y = 60

• 5x + 7.5y = 60

A sandwich shop sell sandwiches for $5 each and bottles of water for $1 each. The owner of this shop needs to earn a total of $100 by the end of the day.

• 5x+y=100

• 5x+100y=1

• y=5x+100

• y=5x-100

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20

• y = 3 + 20x

• y = -3x + 20

• y = -20x + 3

Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes of tagalongs (y). If she made $82 selling cookies, write an equation that represents the scenario.

• 7x+12y=82

• 12x+7y=82

• 7x+82y=7

• y=7x+82