Both options have a per day, constant charge. They also have a per mile charge. The per mile charge is multiplied by the number of miles driven, to get the amount you have to pay. So, you can write the following equations:
Option A: 25 + 0.45*m ( * means multiply; 'm' means miles)
Option B: 45 + 0.25*m
Then just set them equal to each other to solve for 'm'. Here's the work:
25 + 0.45*m = 45 + 0.25*m
-25 -0.25*m
_____________________
0.45*m - 0.25*m = 45 - 25
_____________________
0.20*m = 20
/0.20 /0.20
______________________
m = 100
This answer means that if you drive each car 100 miles, then it will cost the same for both car options. So, the answer to the problem is:
a. Equations: Option A: 25 + 0.45*m
Option B: 45 + 0.25*m
b. Answer: 100 miles
I hope this helps! Feel free to give me Brainliest if you feel this helped.
