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+ [

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

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct