Question

Maradee works at Cox's Jewelers for $7.50 per hour with time-and-a-half for all hours over 40 in a week. Thus, her weekly salary is given by

S(h) = 11.25h + 300
where h is the number of overtime hours and S(h) is her weekly salary. (See Example 5.)
(a) Find S(8.5). (Round your answer to two decimal places.)
$

(b) One week, Maradee worked 47 hours. Find her salary for that week.
$

(c) Maradee's Valentine week salary was $398.61. How many hours overtime did she work? (Round your answer to one decimal place.)
hr

Answer 1

a) 395.725

b) 378.75

c) 8.8

Explanation:

a) S(8.5) = 11.25(8.5) + 300 = 395.625

b) if she worked 47 hrs, that means there were 7 overtime, h=7 and we have to find S(7).

S(7) = 11.25(7) + 300 = 378.75

c) her salary was 398.61, that means S(h) = 398.61 and we have to find h.

398.61 = 11.25(h) + 300

98.61 = 11.25(h)

h = 98.61 / 11.25

h= 8.8