A car rental company offers two plans for renting a car.

Plan A:40 dollars per day and 20 cents per mile.

Plan B: 56.32 dollars per day and 12 cents per mile.

If you plan to rent the car for one day, and "m" represents the number of miles driven in that day, for how many miles driven would you save money with plan B?

answer needs to be written as < > <= >= please help. i don't know how to set this up

Thanks scott

To determine the number of miles where you would save money with Plan B, we need to compare the costs of the two plans.

For Plan A, the cost is $40 per day, plus $0.20 per mile.
The cost of Plan A for one day would be: 40 + 0.20m

For Plan B, the cost is $56.32 per day, plus $0.12 per mile.
The cost of Plan B for one day would be: 56.32 + 0.12m

To find the mileage where Plan B becomes more cost-effective than Plan A, we need to set up an inequality:

56.32 + 0.12m < 40 + 0.20m

Let's simplify this inequality:

56.32 - 40 < 0.20m - 0.12m
16.32 < 0.08m

Now, divide both sides of the inequality by 0.08:

16.32 / 0.08 < m
204 < m

Therefore, you would save money with Plan B for any number of miles driven greater than 204 miles. Written using the requested notation, the answer is: m > 204.

to save money with B ... A > B

.2 m + 40 > .12 m + 56.32

.2 m > .12 m + 16.32

.08 m > 16.32

m > 204