The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 5 % each month for 6 months, and then give the unsold items to charity. Let Upper S Subscript 6 be the sale price for the sixth month and Upper P the original price. Express Upper S Subscript 6 as a function of Upper P Baseline Number.

Question

Mathematics

Jefferson Chambers

30 December, 06:02

The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 5 % each month for 6 months, and then give the unsold items to charity. Let Upper S Subscript 6 be the sale price for the sixth month and Upper P the original price. Express Upper S Subscript 6 as a function of Upper P Baseline Number.

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Grayson Mcgee · Answer 1

Basically, you are asked to make an equation to represent the sales price after 6 months. But first, let's formulate the general equation. Let S be the sales price after t months, while P is the base price. The equation would be

S = P (1-0.05t)

Simplifying,

S = 0.95Pt

So, after 6 months, the sales price would be:

S₆ = 0.95P (6)

S₆ = 5.7P