How fast is the sales volume dropping at the end of the fourth week?

timer Asked: Jul 11th, 2015

Question description

Metro Department Store found that t weeks after the end of a sales promotion the volume of sales was given by

S(t) = B + Aekt  (0 ≤ t ≤ 4)

where B = 53,000 and is equal to the average weekly volume of sales before the promotion. The sales volumes at the end of the first and third weeks were $82,960 and $61,760, respectively. Assume that the sales volume is decreasing exponentially.

(a) Find the decay constant k. (Round your answer to five decimal places.)
k =  .61483

(b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.)
$ = 57737
(c) How fast is the sales volume dropping at the end of the fourth week? (Round your answer to the nearest dollar.)

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