Question

Bob has decided to make his move to his new house easier, so he is going to rent a truck to get it all moved in one trip. He is looking at two truck rental companies. U-Haul rents a 32 ft truck for $19.95 plus 49 cents per mile driven. The formula to calculate the cost with U-Haul is C = 19.95 + 0.49x, where x represents the number of miles driven. Penske rents a truck for 69 cents per mile but has no extra fees. The formula to calculate costs for Penske is C = 0.69x, where x represents miles driven. How many miles indicate that the cost of renting a truck from U-Haul is equal to the cost of renting a truck from Penske?

Answer 1

equation for U haul is C = 19.95+ 0.49x
equation for Penske is C = 0.69x a)
cost of renting is equal equatin is
19.95 + 0.49x = 0.69x
b) solving the equation 19.95 + 0.49x = 0.69x
19.95 = 0.69x - 0.49x x=99.75
x=99.75
c) inequality is
19.95 + 0.49x > 0.69x
d) solving the inequality 19.95 > 0.2xx < 99.75
x<99.75
e)
U haul can be used if the miles driven is less than
99.75 miles
then it will be less expensive