Answer:
The amount of the fee for the truck is $20 and cost per mile is $1.3.
Step-by-step explanation:
If they pay a fee x dollars for the truck and y dollars per mile they drive.
Carrie drives 150 miles and pays $215.
Her fee= $x for the truck + 150 X y =215
x+150y=215...(I)
Similarly, Dave drives 120 miles and pays $176
His fee =$x for the truck + 120 X y = 176
x+120y=176....(ii)
To determine the values of x and y, we solve Equations I and II simultaneously.
x+150y=215...(I)
x+120y=176....(ii)
Using elimination method (Subtracting equation II from I)
30y=39
y=1.3
Substitute y=1.3 into (I) to get x.
x+150y=215...(I)
x+(150X1.3)=215
x+195=215
x=215-195=20
Since x=20, y=1.3, The amount of the fee for the truck is $20 and cost per mile is $1.3.
