Problema Solution

The toll to a bridge is $4.00. A three-month pass costs $14.00 and reduces the toll to $0.50. A six-month pass costs $48.00 and permits crossing the bridge for no additional fee. How many crossings per three-month period does it take for the three-month pass to be the best deal?

Answer provided by our tutors

let x = the number of crossings


with a three-month pass the cost is: 14 + 0.50*x


with a six-month pass the cost is: 48


if the three-months pass it the best deal then


14 + 0.50*x < 48


by solving the inequality we find


x < 68


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the three-months pass is the best deal for less than 68 crossings.