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Chapter 6: Problem 12

Hector works in a gas station and earns $8.60 per hour. Last week he worked 29 hours. What was his gross pay?

Short Answer

Expert verified
$249.40 was earned by Hector last week.

Step by step solution

01

Identify the given values

Hector's hourly wage is $8.60 and he worked for 29 hours.
02

Apply the multiplication

Hector's gross pay can be calculated by multiplying his hourly rate with the total hours worked, i.e., \( $8.60 \times 29 \).
03

Calculate the total gross pay

When you perform the multiplication, you obtain the total amount that Hector earned last week.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Hourly Wage
The concept of an hourly wage is crucial for anyone working on a time-based payment system. Essentially, this is the amount of money paid for each hour of work. It's common in many job sectors, including retail and service industries.

Hector, for example, earns an hourly wage of $8.60. This means that for every hour Hector works at the gas station, he earns $8.60. Calculating an hourly wage involves:
  • Knowing the amount paid per hour of work
  • Tracking the number of hours worked
By understanding this concept, one can easily estimate earnings over any given period.
The Multiplication of Hourly Rate
Once you know your hourly wage, the next step is to determine how much you earn over a period of time by multiplying the hourly rate. This multiplication process is straightforward and forms the basis of many earning calculations.

In Hector's case, he worked for 29 hours last week. To find out what he earned in total, you multiply his hourly rate by the number of hours worked: \[ 8.60 \times 29 \]Breaking it down, the multiplication of the hourly rate with hours worked involves:
  • Calculating the total number of hours worked in the period
  • Using multiplication to find the total earnings
This step gives a clear picture of gross earnings before any deductions are applied.
Exploring Gross Pay Calculation
Gross pay is the total amount an employee earns in a specific period before any deductions, such as taxes or benefits, are applied. It's essential for budgeting and financial planning. For Hector, the gross pay is the result of his hourly wage multiplied by the hours he worked.

Once the multiplication is complete: \[ 8.60 \times 29 = 249.4 \]Hector earned $249.40 last week as his gross pay. Key elements of gross pay include:
  • The base hourly wage
  • Total hours worked
  • The absence of deductions in the calculation process
Understanding gross pay helps employees compare earnings across different job opportunities and time periods.

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Most popular questions from this chapter

Mike is a veterinarian. He is placing a 9-line classified ad for an assistant. The following piecewise function gives the price of an \(x\) -line ad. $$a(x)=\left\\{\begin{array}{ll}{45} & {\text { when } x \leq 3} \\\ {45+9(x-3)} & {\text { when } x>3}\end{array}\right.$$ a. Find the difference between the cost of a 2-line ad and the cost of a 3-line ad. b. Find the cost of a 10-line ad. c. Find the cost of an 11-line ad. d. Can you fi nd the difference between the cost of a 15-line ad and a 17-line ad, without fi nding out the cost of each ad fi rst? Explain.

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Colby and Cheryl work in different local supermarkets. Colby regularly earns \(8.90 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly earns \)7.10 per hour, and she is paid double time for an hour of overtime. Who earns more for one hour of overtime? How much more?
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