Ello there......Im new here, and I was hoping you could help me out...Thanks if you DO help me! :) Jonathan’s pay varies directly with the number of hours he works. He is paid $384 for 32 h of work. How much will he be paid for 12 h of work? $____ A customer paid $4.50 for 6 photo prints. The cost for prints varies directly with the number of prints made. How much will the customer pay for 15 prints? $____

Mathematics · Middle School · Tue Nov 03 2020

Answered on

To solve for how much Jonathan will be paid for 12 of work, find the hourly rate of Jonathan first. Since Jonathan is paid $384 for 32 h of work, divide 384 by 32 to get the hourly rate. 
> 384/ 32
> 12
Jonathan's hourly rate is $12.
Since Jonathan works for 12h, let 12 be the value of h since he is paid $12 for 1 hour. 
> 12h
> 12(12)
> 144
Jonathan will be paid $144 for 12 hours of work.

To get how much will the customer pay for 15 prints, get the cost of each print since the cost for prints varies directly with the number of prints made then multiply it by 15. In this case, a customer paid $4.50 for 6 photo prints. To solve for the cost of each print, divide 4.50 by 6.
> 4.50/ 6
> 0.75
Each print costs $0.75.
Now, to get how much will the customer pay for 15 prints, multiply $0.75 by 15 or it can be expressed as 0.75p where p represents the number of prints. 
> 0.75p
> 0.75(15)
> 11.25
The customer has to pay $11.25 for 15 prints.