We have the following expression: (x- (5/2)) ^ 2 = (13/4) Let's rewrite the given expression: x ^ 2 - 5x + 25/4 = (13/4) x ^ 2 - 5x + 25/4 - 13/4 = 0 x ^ 2 - 5x + 12/4 = 0 x ^ 2 - 5x + 3 = 0 Answer: the original equation given to Sam could have been: x ^ 2 - 5x + 3 = 0
Let C be the total charge and t be the rental time in hours. C = ht + 43 Plugging the given values into the equation, we get: 64 = 7h + 43 7h = 21 h = 3 The hourly fee is $3.00 per hour.