Using proportions, it is found that:
A. Carrie worked 40 regular hours during the week.
B. Carrie worked 4.25 overtime hours during the week.
C. Her total earnings for the week were of $638.12.
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
She worked at least eight hours on 5 days, hence the number of regular hours worked is:
8 x 5 = 40 regular hours.
The amounts of overtime hours are:
0, 0.75, 1, 2, 0.5.
Hence the total is:
0 + 0.75 + 1 + 2 + 0.5 = 4.25 overtime hours.
Applying the pay rates(overtime the rate is multiplied by 1.5), her total earnings are given as follows:
E = 13.76 x 40 + 1.5 x 13.76 x 4.25 = $638.12.
Her total earnings for the week were of $638.12.
More can be learned about proportions at https://brainly.com/question/24372153
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