Answer:
A.$ 0.25 +7x
B. 8.25/x miles
C. 5.27/x miles
Note : $x is the cost of using the toll lane per mile
Step-by-step explanation:
In this case, you are given;
Small fee to enter the toll lane= ($0.25)
Fee to leave the lane= miles covered × cost to travel the line per mile
Lets cost of using the lane per mile= $ x
A.
If Frank covers 7 miles on the lane, the cost will be;
=(Fee to enter lane) + (cost to use the lane per mile ×7)
=$0.25 + (x ×7)
= $ 0.25 +7x
B.
Payments made by Susan each day for using lane = $8.50
Fee of using lane =$0.25
Amount spent for using the lane= $8.50-$0.25 =$ 8.25
Cost of using the lane per mile= $x
Amount spent for using the lane =$8.25
Number of miles covered in the toll lane will be;
($8.25)÷ ($x)
= 8.25/x miles
C.
Number of passengers that used the car= 4 (John + 3 passengers)
Amount each contributed = $1.38
Total amount contributed by all passengers for using the toll lane= $1.38×4=$5.52
Subtract the fee for using the lane = $5.52-$0.25 =$5.27
Cost per mile for using the lane = $ x
Number of miles covered will be ;
$5.27/$x = 5.27/x miles
If you know the value of x which is the cost of using the toll lane per mile, then you can substitute this value in the expressions to get exact figures.