A highway has an optional toll lane that drivers may take to reduce the time the

Question

A highway has an optional toll lane that drivers may take to reduce the time they spend driving. Drivers pay a small fee to enter the toll lane ($0.25). Then, once they leave the toll lane, they pay a fee based on the number of miles they have traveled on the toll lane. Assume that the driver may leave the lane after any whole number of miles, and pays for exactly that number, without rounding up. Note that there is a linear relationship between the number of miles a vehicle has traveled and the price of the toll. If Frank is on the toll road for 9.00 miles and then leaves the lane, how much will he have to pay total for the trip? Each day. Susan has to pay a toll of $10.75 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school? John started a carpool with his coworkers to save money. He and his three passengers split the cost of the toll. If each person pays about $1.38 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?

Explanation / Answer

Here ,

A)

here,

let the price added per mile is x

for 1 mile

0.25 + x = 1

x = 0.75 $

A) for 9 miles

cost = 0.25 + 9 * x

cost = 0.25 + 0.75 * 9

Cost = 7 $

b)let the distance is x

Cost = 0.25 + 0.75 * x

10.75 = 0.25 + 0.75 * x

x = 14 miles

the distance of susan's school is 14 miles

c)

let the distance is d

total cost = 0.25 + 0.75 * x

4 * 1.38 = 0.25 + 0.75 * x

x = 7 miles

the distance travelled is 7 Miles

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