Final answer:
To break even between the two rates, you would need to drive 200 miles.
Step-by-step explanation:
To calculate the break-even point, we need to equate the costs of the two rates. Let's assume the number of miles driven is 'm'. For the first rate, the cost is $45 per day plus 29.5 cents per mile. For the second rate, the cost is $90 per day plus 7 cents per mile.
Setting up the equation:
45 + 0.295m = 90 + 0.07m
Simplifying the equation:
0.225m = 45
Dividing both sides by 0.225:
m = 200
Therefore, you would need to drive 200 miles to break even.