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 ($0.25). Then, once they leave the toll lane, they pay a fee based on the number of miles they have traveled on the toll lane. Assume that the driver may leave the lane after any whole number of miles, and pays for exactly that number, without rounding up. Note that there is a linear relationship between the number of miles a vehicle has traveled and the price of the toll.
# of Miles traveled on toll lane Toll ($)
0 .25
1 1.00
2 1.75
5 4.00
10 7.75
A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?
B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?C. 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 $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?

Answer 1

Answer:

A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?

• $6.25

B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?

• 13 miles

C. 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 $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?

• 9 miles

Step-by-step explanation:

the toll lane charges $0.25 fixed plus $0.75 per mile driven: fee = $0.25 + $0.75miles

a) Frank ⇒ $0.25 + (8 x $0.75) = $6.25

b) Susan ⇒ $10 - $0.25 = $9.75 / 0.75 = 13 miles

c) John ⇒ $2.31 x 3 = $6.93 - $0.25 = $6.68 / 0.75 = 8.91 ≈ 9 miles. Each passenger should pay $2.33 because the total toll lane fee is $7.