Answer:
1. C(m) = 24.95 + 0.05m
2. $34.95
3. 250 miles
Explanation:
1. Let's say C(m) is a function that determines the Cost in $ for every mile you drive. Since for any rental, no matter if you drive or not, you have to pay an upfront cost of rental, r, there is a constant you need to add ($24.95 in this case.)
2. Use your equation from part 1 to get C(200) = 24.95 + 0.05(200), this equalts 34.95 dollars.
3. Here, you want to find m (distance). It is given that C(m) = 37.45 (this is the total cost from equation (1). Subtract 24.95 from C(m) to isolate the 0.05(m) part. Thus, 0.05(m) = 37.45 - 24.95 = 12.5. Here, simply divide 12.5 by 0.05 to obtain m, which is 250 miles.