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

Answer:

Cost for Premier Landscaping = $55h+15$

Cost for Ace Landscaping = $65h$

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

Step-by-step 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 $\times$ 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 $\times$ 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.