To determine how many miles a car needs to be driven, during a one-day car rental, in order for the total cost to be the same at both car rental companies, you can use the two functions, C(m) and T(m), and set them equal to each other. [Since C(m) and T(m) represents the "total cost of the car rental for one day", and you want them to be the same for both car rental companies, you can set them equal to each other.] The number of miles a car needs to have driven in order for the total cost to be the same for both car rental companies is 273.3333 miles.
(Idk how/if to round 273.33333 repeating, or if you can use pronouns in your explanation "you")
C(m) = T(m)
0.10m + 41 = 0.25m Isolate/get the variable "m" by itself in the equation to find its value. Subtract 0.10m on both sides
0.10m - 0.10m + 41 = 0.25m - 0.10m
41 = 0.15m Divide 0.15 on both sides to get "m" by itself
[tex]\frac{41}{0.15}=\frac{0.15m}{0.15}[/tex]
273.333333333333333333...... = m
C(41/0.15) = $68.3333333333
T(41/0.15) = $68.3333333333
