Question

A plumber charges a $50 fee plus $100 per hour to complete a plumbing job. The total amount spent on a plumbing job can be expressed by the function T(x) = 100x + 50 where x represents the number of hours spent on the plumbing job. The maximum time spent on one job per day is 8 hours. Find a reasonable domain and range for this situation.

Answer 1

Between 150 and 800

T is between 150 and 800

Explanation:

given information

charges=$50

charges per hour=$100

let the amount of time spent be x

therefore the function for the total amount is

T(x) = 100x + 50

we want to estimate the amount for 1 hour and 8 hours

for 1 hour we have

x=1

T(x) = 100x + 50

T(1) = 100(1)+ 50

T(1) = 150

for 8 hours we have

x=8

T(x) = 100x + 50

T(8) = 100(8)+ 50

T(8) = 800+50

T(8) = 850

the domain is between 150 and 800