Susan earns $11.50 per hour.
The correct answer is option (D).
What is rate in mathematics?
"It is the ratio or comparison of two related quantities."
What is proportional in mathematics?
"When one quantity is proportional to other quantity, this means with increase in the values of first quantity there is equal increase/decrease in the values of second quantity."
For given situation,
Susan's weekly earnings were proportional to the number of hours she worked.
From given table, we can observe that with increase in the number of hours Susan worked, there in increase in the weekly earnings.
This means, Susan's weekly earnings are directly proportional to the number of hours she worked.
We need to find the amount of money she earn per hour, i.e., to find the ratio of her total earnings and total hours she worked.
Let S represents Susan's total earning and T represents the total number of hours she worked.
⇒ S = 57.50 + 80.50 + 103.50 + 126.50
⇒ S = 368
And T = 5+ 7 + 9 + 11
⇒ T = 32
Now we find the required ratio,
S/T = 368/T
⇒ S/T = 11.5 dollar per hour
Therefore, Susan earn $11.5 per hour.
Hence, option (D)$11.50 is the correct option.
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