#### Explanation:

Based on the given information, here's what we know:

• Merin worked 40 hours on regular rate
• She worked 8 hours on 1.5x regular rate.
• She earned a total of $650 Now, we can use this information to set up an equation. Let's call Merin's regular hourly rate $x$. Let's now translate the first two sentences into equations: • 40 hours on regular rate $\implies 40 x$• 8 hours on 1.5x regular rate $\implies 8 \left(1.5 x\right) = 12 x$We know that the two must add up to$650, or the total sum of money she earned in these 48 hours. Hence, our final equation is:

$40 x + 12 x = 650$

$\implies 52 x = 650$

Now, it's a basic algebra problem. Simply divide both sides by $52$, and you have your answer:

$x = \frac{650}{52} = 12.5$

In words, Merin earns \$12.5/hour.

Hope that helped :)