A local landscaping company charges an initial fee of $15 when quoting customers to cut their lawn. After the initial fee there is a charge of $45 per acre to mow the yard. If a homeowner has a yard that is 0.6 of an acre, how much will the landscaping company charge them? Write an equation to model and solve the problem. Write the answer as an ordered pair and explain the meaning of the ordered pair. Show all work.

thats not a system of equations, that is a solution

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus