Real World Linear Problem

A dude ranch in Texas charges customer y dollars to go horseback riding based on the equation y = 10x + 20, where x represents the hours they go horseback riding. What is the meaning of the slope?

• The initial fee for riding horses is $10

• It cost $10 per hour to ride a horse

• The initial fee for riding horses is $20

• It cost $20 per hour to ride a horse

A dude ranch in Texas charges customer y dollars to go horseback riding based on the equation y = 10x + 20, where x represents the hours they go horseback riding. What is the meaning of the y-intercept?

• The initial fee for riding horses is $10

• It cost $10 per hour to ride a horse

• The initial fee is for riding horses is $20

• It cost $10 per hour to ride a horse

Raegan is driving down a mountain. Her elevation, y (in feet), is represents by the equation y = -35x + 5450, where x is the minutes since she started driving. What is the meaning of the slope?

• Raegan started her trip down the mountain at 5,450 feet

• Raegan started her trip down the mountain at 35 below feet sea level

• Raegan is driving down the mountain at 5,540 feet per minute

• Raegan is driving down the mountain at 35 feet per minute

The cost of airing a commercial on television is modeled by the function C(n)=110n+900, where n is the number of times the commercial is aired. Based on this model, which statement is true?

• The commercial costs $0 to produce and $110 per airing up to $900.

• The commercial costs $110 to produce and $900 each time it is aired.

• The commercial costs $900 to produce and $110 each time it is aired.

• The commercial costs $1010 to produce and can air an unlimited number of times.

Determine the values of x and y that satisfy the equations: 6x + 2y = 14 and 3x - 5y = 1

• x = 3, y = 4

• x = 2, y = 5

• x = 1, y = 7

• x = 5, y = 2

Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.

• A = 120 + 5x

• A = 120x + 5

• A = -120 + 5x

• A = 120 - 5x

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?

• $40

• $400

• $415

• $65

• $390

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a linear equation to represent the situation.

• y = 12 + 325

• y = 12x  + 325

• y = 325 - 12x

• y = 325x + 12

Billy's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. How many hours of labor did the mechanic work on the car if her total bill was $260?

• 3 hours

• 12 hours

• 2.5 hours

• 5 hours