Question

At Fashion R Us, each week that a coat that costs $120 does not sell, its price is marked down 15%. What will be the price of the coat after four weeks? Write the recursive and explicit formula for the coat at Fashion R Us.​

Answer 1

After 1 week, the coat will be priced at 85% of $120, which is $102.

After 2 weeks, the coat will be priced at 85% of $102, which is $86.70.

After 3 weeks, the coat will be priced at 85% of $86.70, which is $73.70.

After 4 weeks, the coat will be priced at 85% of $73.70, which is $62.65.

Recursive formula:

P(n) = 0.85*P(n-1), where P(n) is the price of the coat after n weeks.

Explicit formula:

P(n) = $120*(0.85)^n