Answer:
200 miles
Explanation:
The way you're expected to solve this is to write an expression for the rental cost paid by each person. Since you want to find the number of miles that makes the rental costs the same, set those two expressions equal to each other and solve for m.
Albert's rental cost (in dollars) for driving m miles in one day is ...
A = 35 + 0.15m
Makayla's rental cost for driving m miles in one day is ...
M = 45 +0.10m
To make the costs the same, we set these equal to each other:
A = M
35 +0.15m = 45 +0.10 m
35 + 0.05m = 45 . . . . . . . . . . subtract 0.10m from both sides
0.05m = 10 . . . . . . . . . . . . . . . subtract 35 from both sides
m = 200 . . . . . . . . . . . . . . . . . divide by 0.05
If they spend the same on their rentals, Albert and Makayla both drive 200 miles.