Question

Helen earns $\$ 7.50$ an hour at her job, but if she works more than 35 hours in a week, she is paid $1 \frac{1}{2}$ times her regular salary for the overtime hours worked. One week her gross pay was $\$ 352.50 .$ How many overtime hours did she work that week?

Name: Problem 31, Chapter 0: College Algebra
Uploaded: 2020-07-28T05:41:03-08:00
Duration: 1 min 54 s
Channel: Ankit Gupta
Description: Helen earns 7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1 (1)/(2) times her regular salary for the overtime hours worked. One week her gross pay was 352.50 . How many overtime hours did she work that week?

   Helen earns $\$ 7.50$ an hour at her job, but if she works more than 35 hours in a week, she is paid $1 \frac{1}{2}$ times her regular salary for the overtime hours worked. One week her gross pay was $\$ 352.50 .$ How many overtime hours did she work that week?

College Algebra

James Stewart,… 7th Edition

Chapter 0, Problem 31

Instant Answer

Solved by Expert Ankit Gupta

07/28/2020

Step 1

This is done by multiplying her hourly wage by the number of hours she works regularly. This gives us $7.50 \times 35 = \$262.50$. Show more…

Show all steps

Thanks for your feedback!

Helen earns $\$ 7.50$ an hour at her job, but if she works more than 35 hours in a week, she is paid $1 \frac{1}{2}$ times her regular salary for the overtime hours worked. One week her gross pay was $\$ 352.50 .$ How many overtime hours did she work that week?

Play audio

Feedback

Ankit Gupta and 67 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Equations

Linear equations are mathematical expressions that establish a relationship between different variables. In wage-related problems, they are used to set up and solve for unknown quantities, such as the number of overtime hours, by equating the sum of different components of pay to the total earnings.

Overtime Pay

Overtime pay is additional compensation granted to employees who work beyond the standard or regulated number of hours in a given period. This compensation is typically calculated at a rate higher than the regular hourly wage, reflecting the extra effort required beyond normal working hours.

Gross Pay Calculation

Gross pay is the total earnings of an employee before any deductions, combining compensation from both regular working hours and any additional overtime hours. It is determined by summing the products of hours worked and their corresponding pay rates.

Please give Ace some feedback