Question

although b. west is a salaried employee expected to work forty hours each week, he is paid at a time - and - a - half equivalent for hours over 40. find mr. wests weekly gross.
employee\tweekly salary\thours worked\tgross earnings
west, b.\t$632.00\t42\t
mr. wests weekly gross earnings are $\square.

Explanation:

Step1: Find the hourly rate

First, we find the hourly rate from the weekly salary. Since the weekly salary is for 40 hours, the hourly rate \( r \) is calculated as \( r=\frac{632}{40} \).
\( r = 15.8 \) dollars per hour.

Step2: Find the overtime rate

The overtime rate is time - and - a - half of the regular hourly rate. So the overtime rate \( o_r=1.5\times r \).
Substituting \( r = 15.8 \), we get \( o_r=1.5\times15.8 = 23.7 \) dollars per hour.

Step3: Calculate regular pay and overtime pay

The regular pay is the weekly salary, which is \( \$632 \) (for 40 hours). The number of overtime hours is \( 42 - 40=2 \) hours.
The overtime pay is \( 2\times23.7=\$47.4 \).

Step4: Calculate gross earnings

The gross earnings is the sum of regular pay and overtime pay. So gross earnings \( = 632+47.4=\$679.4 \).

Answer:

\( 679.4 \)