Final answer:
To find the number of miles for which the rentals would cost the same amount, set up an equation with cost functions for each rental company and solve for the variable m.
Step-by-step explanation:
To find the number of miles for which the rentals would cost the same amount, we need to set up an equation. Let's start by representing the cost of renting a truck from Best Rentals as a function of the number of miles driven, m. The cost would be $60 for the two-day rental plus $0.35 multiplied by the number of miles, which can be written as 0.35m. Therefore, the cost function for Best Rentals would be C(m) = 60 + 0.35m.
Now, let's represent the cost of renting a truck from Easy Movers using a similar approach. The cost would be $80 for the two-day rental plus $0.25 multiplied by the number of miles, which can be written as 0.25m. Therefore, the cost function for Easy Movers would be C(m) = 80 + 0.25m.
To find the number of miles for which the rentals would cost the same amount, we need to set up an equation where C(m) for Best Rentals is equal to C(m) for Easy Movers. That can be written as: 60 + 0.35m = 80 + 0.25m.
Simplifying the equation, we get: 0.35m - 0.25m = 80 - 60. Combining like terms, we have: 0.1m = 20. Finally, we divide both sides of the equation by 0.1 to solve for m, which gives us: m = 200.
Therefore, the two rentals would cost the same amount for a distance of 200 miles.