Question

Brenda is deciding between two landscaping companies for her place of business. Company A charges $25 per hour and a $300 equipment fee. Company B charges $50 per hour and a $150 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation. Determine the interval of hours, t,t, for which Company A is cheaper than Company B.

Answer 1

1/6 hours

Explanation:

Given data

Company A charges

$25 per hour and a $300 equipment fee

let the number of hours be t

and the total charges be A

A=25+300t----------------1

Company B charges $50 per hour and a $150 equipment fee.

let the number of hours be t

and the total charges be B

y=50+150t----------------2

Equate 1 and 2 we have

25+300t= 50+150t

300t-150t= 50-25

150t= 25

divide both sides by 150

t= 25/150

t=1/6 hours