Graph the function over a one-period interval.
-The weekly sales in thousands of items of a product has a seasonal sales record approximated by $$\mathrm { n } = 59.02 + 21.5 \sin \frac { \pi \mathrm { t } } { 24 } ( \mathrm { t } = \text { time in weeks with } \mathrm { t } = 1 \text { referring to the first week in the year } ) \text {. During }$$ which week(s) will the sales equal 69,770 items?
A) week 4 , week 20 , and week 52
B) week 30 and week 47
C) week 21 and week 30
D) week 4 and week 47

Question

Quizplus · Accepted Answer

The graph of the function is a sine curve with a period of 48 weeks. The amplitude of the curve is 21.5 thousand items. The midline of the curve is 59.02 thousand items. The sales will equal 69,770 items when the graph is at its maximum value. The maximum value of the graph occurs at t = 12 and t = 36. Therefore, the sales will equal 69,770 items during week 12 and week 36.

Graph the Function Over a One-Period Interval Which Week(s) Will the Sales Equal 69,770 Items? A) Week

Graph the Function Over a One-Period Interval Which Week(s) Will the Sales Equal 69,770 Items?
A) Week