Let's carefully break down the given problem and solve it step-by-step to determine how many hours Corey worked on Sunday.
1. Corey gets paid \[tex]$6 per hour.
2. He worked 3 hours on Saturday.
3. Corey made a total of \$[/tex]48 over the weekend.
4. Let [tex]\( x \)[/tex] be the number of hours Corey worked on Sunday.
First, we calculate the pay Corey earned on Saturday:
[tex]\[
\text{Pay on Saturday} = \text{hours worked on Saturday} \times \text{rate per hour} = 3 \times 6 = 18 \text{ dollars}
\][/tex]
Next, we determine how much he earned on Sunday by subtracting his Saturday earnings from his total earnings:
[tex]\[
\text{Pay on Sunday} = \text{total earnings} - \text{Pay on Saturday} = 48 - 18 = 30 \text{ dollars}
\][/tex]
Since Corey is paid \$6 per hour, we can find the number of hours he worked on Sunday by dividing the earnings on Sunday by his rate:
[tex]\[
x = \frac{\text{Pay on Sunday}}{\text{rate per hour}} = \frac{30}{6} = 5 \text{ hours}
\][/tex]
Thus, Corey worked for 5 hours on Sunday. The correct equation and solution steps match option D:
[tex]\[
6(x+3)=48
\][/tex]
[tex]\[
\begin{array}{c}
\frac{6(x+3)}{6}=\frac{48}{6} \\
(x+3)=8 \\
x+3-3=8-3 \\
x=5
\end{array}
\][/tex]
So, Corey worked for [tex]\(5\)[/tex] hours on Sunday.
