The equation below gives the amount A, in dollars, a plumber charges for a job that takes h
hours. Bob and Todd each hired a plumber. The plumber worked 5 hours longer on Todd's job
than on Bob's job. How much more did the plumber charge Todd than Bob?
A=35h+72
The expression 35h implies that for every increase in h, the Amount A would increase by 35.
Therefore, a difference of 5 hours would amount to:
35(5)=175
We can make up a scenario. For example, let's say Bob's job took 1 hour. Todd's job would therefore take
6 hours.
Todd's charge
A=35h+72 ; h=6
A=35(6)+72
A=210+72=282
Bob's charge
A=35h+72 ; h=1
A=35(1)+72
A=107
The difference in charge is:
282−107=175