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Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50C increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.

b(x)= x + x+ [

Respuesta :

jepessoa

Answer:

b(x) = -2X² + 19X + 114

Step-by-step explanation:

b(x) = total revenue generated per day

total revenue formula ⇒ b(x) = price x quantity

price = $3 current price + 0.5X price increase = 3 + 0.5X

quantity = 38 current quantity sold - 4 books per X = 38 - 4X

b(x) = (3 + 0.5X) · (38 - 4X)

b(x) = 114 -12X + 19X - 2X²

b(x) = -2X² + 19X + 114

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