Question

Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the interval of hours,
t
,
t, for which Company A is cheaper than Company B.

Answer 1

Answer

10 hours

Explanation

Step one:

given information

Company A

charges $45 per hour and a $150 equipment fee.

Let A represent the amount Company A would charge for  t hours

So, the expression for the total is

A= 45t+150--------------------1

Company B

charges $35 per hour and a $200 equipment fee.

Let B represent the amount Company B would charge for  t hours

So, the expression for the total is

B= 35t+200--------------------2

Step two:

equating the two equations above

A=B

45t+150=35t+200

collect like terms

45t-35t= 200-150

5t=50

divide both sides by 5

t=50/5

t=10