Question

Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixing the problem. The expression 103x + 64 represents an electronic store's total charges in dollars for the same work. In both expressions, x is the number of hours it took to complete the job. What is the difference in the total charges for a repair job that takes 45 minutes? Explain.

Answer 1

The Jason's company charges more than the contractor's company.

Explanation:

There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.

Here x represents number of hours.

We are asked to find difference in total charges if that takes 45 minutes.

45 minutes =
`(3)/(4)` hours.

Plug in this value for x.

81x+108 =
`81*(3)/(4) +108`

Simplify it

60.75 +108 =168.75

Now, for 103x+64 =
`103 *(3)/(4) +64`

Simplify it,

77.25+64=141.25

If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.