Question

assume that you are working for a temporary employment agency. you have a wide variety of employees who work for different hourly rates. often, they work different hours or fractions of an hour. you are assigned the job of calculating their wages. the formula you use is \\(w = h \cdot r\\), where \\(w = \text{wages}\\), \\(h = \text{hours worked}\\), and \\(r = \text{the hourly rate of pay}\\). logan works 14.5 hours and earns \\$8.50 per hour. how much did he earn for his time?

a. \\$104.00

b. \\$1.70

c. \\$1232.50

d. \\$123.25

Explanation:

Identify the given values

We are given the formula for wages:

$$w = h \cdot r$$

where:

• \(w\) represents the total wages earned.
• \(h = 14.5\) hours (the hours worked).
• \(r = \$8.50\) per hour (the hourly rate of pay).

Apply algebraic evaluation

Using the Algebraic Evaluation concept, we substitute the known values of \(h\) and \(r\) into our formula:

$$w = 14.5 \cdot 8.50$$

Calculate the total wages

We perform the multiplication to find the value of \(w\):

$$w = 123.25$$

This represents a total wage of \(\$123.25\).

Answer:

• A. $104.00
• B. $1.70
• C. $1232.50
• D. $123.25 (Correct answer)