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. a. if frank is on the toll road for 4.00 miles and then leaves the lane, how much will he have to pay total for the trip?

Answer 1

He will have to pay $3.25.

Let the number of miles traveled by a driver be x

The toll paid by the driver is then represented as $y.

Since there is a linear relation between the two, we can assume the equation can be written as:

y = mx + c

From the given data, we get

0.24 = m(0) + c

c = 0.25

Using the second point:

1 = m(1) + 0.25

m = 1 − 0.25 = 0.75

Hence, the equation is y = 0.75x + 0.25.

If  x = 4, then:

y = 0.75 × 4 + 0.25

y = $5.50

Hence, He will have to pay $3.25.

Learn more about linear relation from here : brainly.com/question/28450464

21256