Question

An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?

Answer 1

The range of values from one job is between $50 and $650.

Explanation:

An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.

This means that his earnings in a job can be modeled by the following function:

`y = 30x + 50`

The electrician works maximum of 20 hours on any job. What is the range of values for one job?

Minimum, he works 0 hours, and earns:

`y(0) = 30(0) + 50 = 50`

Maximum, he works 20 hours, and earns:

`y(20) = 30(20) + 50 = 650`

The range of values from one job is between $50 and $650.