Question

Rent-A-Wreck rents cars for $50 a day, plus $0.25 per mile. Drive-A-Lemon rents cars for $40 a day, plus $0.30 per mile. A. Write a system of equations that best models the cost of renting a car from each business. Let x represent the number of miles, and let y represent the cost per day. *

Answer 1

The system of equations representing the cost of renting a car from Rent-A-Wreck and Drive-A-Lemon is y = 50 + 0.25x and y = 40 + 0.30x, respectively, where x represents the number of miles driven and y represents the total cost.

Step-by-step explanation:

To compose a system of equations that models the cost of renting a car from each business, we need to incorporate the daily rate and the per-mile charge for each company. Let x represent the number of miles driven, and let y represent the total cost for renting the car.

For Rent-A-Wreck, with a daily rate of $50 and $0.25 charged for each mile, the equation would be:

y = 50 + 0.25x

For Drive-A-Lemon, with a daily rate of $40 and $0.30 charged for each mile, the equation would be:

y = 40 + 0.30x

Thus, the system of equations that models the cost for both businesses is:

• Rent-A-Wreck: y = 50 + 0.25x
• Drive-A-Lemon: y = 40 + 0.30x

Using these equations, you can calculate the total cost of renting a car based on the number of miles driven from either company.

Answer 2

y = 0.25x + 50

y = 0.3x + 40

Step-by-step explanation:

The equations will be in slope-intercept form (y = mx + b). To figure out what goes where, you need to figure out what you have.

For Rent-A-Wreck, they pay $50 a day with $0.25 per mile. This means that, per day, the number that is changing is the $0.25 per mile. This means that the equation will be y = 0.25x + 50.

For Drive-A-Lemon, they pay $40 a day with $0.30 per mile. This means that, per day, the number that is changing is the $0.30 per mile. The equation will be y = 0.3x + 40.