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?

1 Answer
LlamaStampede
Feb 14, 2018

#"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#

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