Question

Jeremy is looking at 2 different lawn care companies to weed and mulch his flower scape offers to charge $120 for mulch plus $15 per hour for the labor. DJ landscape offers to charge $55 per hour for the job, including the mulch. how many hours for both companies to cost the same? how many hours must the job be for DJ to be the better offer? why?

Answer 1

To find the number of hours for both companies to cost the same, one needs to equate Flower Scape's cost formula ($120 + $15 × hours) to DJ Landscape's cost formula ($55 × hours) and solve for hours.

Step-by-step explanation:

The student is dealing with a linear equation problem where two companies offer different pricing structures for lawn care services, and the aim is to find out at what point the costs would be the same from both companies. To solve this, we can set up two equations representing the total cost from each company and find the number of hours where these costs would be equal.

For Flower Scape, the cost is given by:
C1 = $120 + $15 × h
For DJ Landscape, the cost is:
C2 = $55 × h

To find out when both companies will charge the same, we need to set C1 equal to C2:
$120 + $15 × h = $55 × h
Solving this equation gives us the number of hours where the costs are the same.