Question

A department store marks up the price of a power drill by 32% of the price from the manufacturer. The price P(x) (in $) to a customer after a 6.5% sales tax is given by P(x) = 1.065(x + 0.32x), where x is the cost of the drill from the manufacturer. Evaluate P(189) and interpret the meaning in the context of this problem.

Answer 1

Answer:

P(189) = 265.6962 ≈ $265.70

Here,

The meaning of P(189) in context to the problem is that, when the price of the drill from the manufacturer is $189 the customer has to pay $265.70 for the drill machine after including the 32% price up by the department store and 6.5% sales tax.

Explanation:

Given:

The price P(x) (in $) to a customer after a 6.5% sales tax is given by

P(x) = 1.065(x + 0.32x)

Here,

x is the cost of the drill from the manufacturer

Now,

P(189) mean value of function P(x) at x = 189

Thus,

P(189) = 1.065(189 + 0.32(189))

or

P(189) = 265.6962 ≈ $265.70

Here,

The meaning of P(189) in context to the problem is that, when the price of the drill from the manufacturer is $189 the customer has to pay $265.70 for the drill machine after including the 32% price up by the department store and 6.5% sales tax.