Answer:
x = 4.5
Explanation:
Let's begin by writing the equation in words to express the worker's earnings:
Rate x Time = Earnings
Now let's rewrite this equation replacing the words with our given numerical facts and our unknown (x):
Rate x Time = Earnings
Rate = $7.50 per hour
Time = x (# hours worked)
Earnings = 33.75
(7.50)(x) = 33.75
Finally, we'll solve our equation for our unknown (x):
(7.50)(x) = 33.75
7.50x = 33.75
x = 33.75/7.50
x = 4.5 (# hours worked)