Final answer:
To calculate the total charge t for m miles, use the function t(m) = 5.50 + 0.35m, where 5.50 is the pick-up fee and 0.35 is the charge per mile driven.
Step-by-step explanation:
The function to find t, the total cost Blake would charge if he delivered to a customer m miles away, is given by the formula:
t(m) = 5.50 + 0.35m
Here, 5.50 represents the pick-up fee, which is a fixed charge for each ride. The variable m represents the number of miles driven, and 0.35 is the charge per mile. To calculate the total cost, multiply the number of miles driven (m) by the charge per mile (0.35), and then add the pick-up fee (5.50).
For example, if Blake drives a customer for 10 miles, the total cost would be calculated as follows:
t(10) = 5.50 + (0.35 × 10) = 5.50 + 3.50 = 9.00