Construct Linear Functions from Word Problems

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

• y= 40

• y= 400

• y= 415

• y= 65

• y= 390

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

• 2x - 3y = 240

• 3y - 2x = 240

• 2x + 3y = 240

• 2 + 3 = 240

Carson owes money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.

What was the original amount of Carson's Debt?

• $18.200

• $18,000

• $19,800

• $16,200

Carson owes the bank money. To repay his debt, he paid $200 back to the bank each month interest free. After 9 months, his remaining debt was $18,000.
How long did it take Carson to pay back his entire debt?

• 9 months
• 90 months
• 99 months
• 81 months

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. Write an equation to represent revenue based on the number of tickets sold. If the drama club made a total of $290, how many tickets were sold?

• 47

• 58

• 69

• 113

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven.  If driven 48 miles, it costs $64 to rent a truck.  Find the daily fee.

• $40
• $53
• $37
• $42

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

• 32 songs
• 33 songs
• 19 songs
• 36 songs

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip.

How much does it cost to travel 7 miles in a cab?

• 42.75

• 7.50

• 63.75

• 13.50