Answer:
Total Cost = 2(29) = $58 (without coupon book)
Total Cost = $29 + $1(29) = $58 (with coupon book)
Explanation:
Let's assume that x is the number of times the bus is used in a month.
Without the coupon book, the total monthly cost would be:
Total Cost = 2x
With the coupon book, the total monthly cost would be:
Total Cost = $29 + $1x
We want to find the value of x that makes these two total costs equal. So we set them equal to each other and solve for x:
2x = 29 + 1x
2x - 1x = 29
x = 29
So if the bus is used 29 times in a month, the total monthly cost without the coupon book will be the same as the monthly cost with the coupon book. In this case, the total monthly cost would be:
Total Cost = 2(29) = $58 (without coupon book)
Total Cost = $29 + $1(29) = $58 (with coupon book)
Therefore, if a person uses the bus more than 29 times in a month, it would be more cost-effective for them to purchase the coupon book. If they use the bus less than 29 times, it would be more cost-effective for them to pay the regular fare of $2 per ride.