Question

1. dorothy katz, a computer programmer, earns a regular hourly rate of $32.25 and time and a half when she works overtime. in a typical week she works 40 regular hours and 12 hours overtime. find dorothy’s (a) straight - time pay, (b) overtime pay, and (c) total pay.

Explanation:

Step1: Calculate straight-time pay

Multiply regular hours by hourly rate.
$\text{Straight-time pay} = 40 \times 32.25 = 1290$

Step2: Find overtime hourly rate

Time-and-a-half = $1.5 \times$ regular rate.
$\text{Overtime rate} = 32.25 \times 1.5 = 48.375$

Step3: Calculate overtime pay

Multiply overtime hours by overtime rate.
$\text{Overtime pay} = 12 \times 48.375 = 580.5$

Step4: Calculate total pay

Sum straight-time and overtime pay.
$\text{Total pay} = 1290 + 580.5 = 1870.5$

Answer:

(a) $\$1290$
(b) $\$580.50$
(c) $\$1870.50$