Question

Hamda and Layla get paid per project.

Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.

Layla is paid a project fee of AED 18 plus AED 14.25 per hour.

Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.

Show your steps

Answer 1

Answer:

$Company: 43 + 24.75h$

Step-by-step explanation:

Given

Hamda:

$Project\ Fee = 25$

$Hourly\ Rate = 10.50$

Layla:

$Project\ Fee = 18$

$Hourly\ Rate = 14.25$

Required

Derive an expression for total pay

Represent the number of hours with h.

For Hamda and Layla, their pay for h hours is:

$Pay = Project\ Fee + Hourly\ Rate * h$

For Hamda, we have:

$Hamda : 25 + 10.50 * h$

$Hamda : 25 + 10.50 h$

For Layla, we have:

$Layla: 18 + 14.25 * h$

$Layla: 18 + 14.25 h$

For h hours, the company will pay:

$Company: Hamda + Layla$

$Company: 25 + 10.50h + 18 + 14.25h$

Collect like terms

$Company: 25 + 18 + 10.50h + 14.25h$

$Company: 43 + 24.75h$