Question

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $36.00. How many hours did the union member work during the month of March?

Answer 1

200 hours

Step-by-step explanation:

The amount charged by the union for each hour of work is

$0.15/hour

Moreover, the union also charges a fixed fee of

$6.00

This means that the total amount charged by the union is

`6.00+0.15x`

where x is the number of hours worked.

In this problem, a union member's due for March is $36.00; therefore, for this member, we have

`6.00+0.15x=36.00`

By solving for x, we find the number of hours worked by the member:

`0.15x=30.00\\x=(30.00)/(0.15)=200`