Question

Pete worked 7 hours and charged 390. Rosalee worked 8 hours and charged 430. If​ Pete's charge is a linear function of the number of hours​ worked, find the formula for​ Pete's rate, and how much he would charge for working 1010 hours for Fred?

Answer 1

`"How much Pete charges" = $56,271.43`

Explanation:

First step is to rule out the useless information given, which is how much Rosalee charges. Next let's calculate the linear function for how much Pete charges.

`"Charge" = "Amount Charged"/"Hours Spent"`

In Pete's case:

`"How much Pete charges" = ($390)/(7) "per hour"`

Now we have a function `f(x)` for pete's charging where `x` = the amount of hours he spends and `f(x)` = the amount of money charge in total.

To find out how much money he would charge for 1010 hours of work simply plug 1010 in for `x`

`"How much Pete charges" = ($390)/(7) * 1010`

Simplify:

`"How much Pete charges" = $56,271.43`