Question

Aplumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which

expression models the cost of a job lasting h hours, when h is greater than 1?
O 75-30h
O 75+ 30(h-1)
O 75h+30
75(h-1)+30

Answer 1

Answer:-

`\longrightarrow \sf 75+ 30(h-1)`

Solution:-

Given that :-

• job last for h hours
• Cost of job lasting more than 1 hour = $30
• Cost for the first hour = $75

`\leadsto`Remaining hours for which the job will last after first hour= (h-1)

Therefore,

Cost for subsequent hours = 30×(h-1)

= 30(h-1)

Total Cost for job = Cost for 1st hour + Cost for subsequent hours

`\quad\quad\quad\quad\quad\quad\quad\quad\boxed{\sf{= 75+30(h-1)}}`