Problem #1
budget rent a car rented a basic car at a daily rate of $45.95 plus 40 cents per mile. Another company rents a basic car for $46.95 plus 20 cents per mile. For what mileage is the cost the same.
Define the variables
Let
x -----> number of miles
y -----> the total cost
we have
budget rent a car
y=40x+45.95 ------> equation 1
Another company
y=20x+46.95 -------> equation 2
Solve the system of equations
equate equation 1 and equation 2
40x+45.95=20x+46.95
solve for x
40x-20x=46.95-45.95
20x=1
x=0.05 miles
therefore
the cost is the same for 0.05 miles