Question

Troy is considering two lawn care services. Premier Landscaping charges $15 for travel to Troy's house and $55 per hour for maintaining his lawn. Ace Landscaping does not have a travel fee, but charges $65 per hour for lawn maintenance. Part A Write a system of equations that represent the lawn care services.

Answer 1

Cost for Premier Landscaping =
`55h+15`

Cost for Ace Landscaping =
`65h`

Where
`h` is the number of hours spent on lawn care.

Explanation:

Given that:

Charges as per Premier Landscaping:

Fixed charges for travel to the house = $15

Per hour charges = $55

Let
`h` be the number of hours for which lawn care is done.

So, Charges for
`h` hours = Per hour charges
`*` Number of hours =$55
`h`

Therefore, total cost =
`55h+15`

Charges as per Ace Landscaping:

Per hour charges = $65

Let
`h` be the number of hours for which lawn care is done.

Then Charges for
`h` hours = Per hour charges
`*` Number of hours =$65
`h`

Therefore, system of equations that represent the lawn care services:

Cost for Premier Landscaping =
`55h+15`

Cost for Ace Landscaping =
`65h`

`h>0`

Where
`h` is the number of hours spent on lawn care.