A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost is a function f
(
m
)
of the number of miles
m
that the car is driven. In addition to a flat fee of $75, Plan A offers a rate of $0.20 per mile for an unlimited number of miles. Plan B offers a higher mileage rate of $0.35 per mile but does not charge a flat fee for the rental.

Create a system of linear functions modeling the cost of the car rental plans, A and B, as a function of the miles driven.
For how many miles
m
will the rental fee be the same under both plans A and B?

I’m not that good at math I rlly need some help I will give Brainliest if it’s correct

Step-by-step explanation:

Let the number of miles driven be m

and the total be expressed as "f"

Step one:

given data

plan A

flat fee = $75

rate= $0.2 per mile

f= 0.2m+751

plan B

rate= $0.35 per ride

f= 0.35m2

Required is m when f is equal for the two plans

equating the two equations above we have

0.2m+75=0.35m

collect like terms

75=0.35m-0.2m

75=0.15m

divide both sides by 0.15

m=75/0.15

m=500miles

Hence after 500miles the two plans will have the same charges

stop cheating

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b