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 50¢ 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.

Answer:The equation that models this scenario [tex]b(x)=(3+0.5x)(38-4x)[/tex]Step-by-step explanation:First we convert 50 cent into dollar,1 cent =[tex]\frac{1}{100}[/tex] dollar1 cent = 0.01 dollar50 cent = 0.5 dollarAccording to question,x is the number of 50¢=$0.5 price increases.b(x) is the revenue generated He currently charges $3 per book.i.e. price of book = 3+0.5xQuantity or average = 38 per dayAccording to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day. i.e. quantity became 38-4xRevenue = Price × QuantityThe required equation is given by,[tex]b(x)=(3+0.5x)(38-4x)[/tex]