The weekly sales in thousands of items of a product has a seasonal sales record approximated by n=60.31+19.4sin (/24) (pi x t / 24) (t is time in weeks with t=1 referring to the first week in a year.) During which week (s) will the sales equal 70,010 items? Show your work.

Question

Mathematics

Gauge Cox

20 November, 14:17

The weekly sales in thousands of items of a product has a seasonal sales record approximated by n=60.31+19.4sin (/24) (pi x t / 24) (t is time in weeks with t=1 referring to the first week in a year.) During which week (s) will the sales equal 70,010 items? Show your work.

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Dahlia · Answer 1

We are given with the equation

n = 60.31 + 19.4 sin (πt/24)

where n is the weekly sales in thousands of item

and t is the time in weeks

The week that will result to a sales of 70,010 is

70.01 = 60.31 + 19.4 sin (πt/24)

t = 4

weeks from the first week