SOLUTION: 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,

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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,       Log On


   

Question 1194077: 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.
b(x) = -
x2 +
x +

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


x = number of 50-cent price increases
3+.50x = price per rental after x price increases
38-4x = number of rentals per day after x price increases

Revenue is number of rentals times price per rental

b%28x%29=%283%2B.50x%29%2838-4x%29

b%28x%29=114-12x%2B19x-2x%5E2

ANSWER: b%28x%29=-2x%5E2%2B7x%2B114