Final answer:
The equation f(x) = 250 - 45x represents the distances remaining in miles after traveling for x hours, assuming a constant average speed of 45 miles per hour.
Step-by-step explanation:
The given equation f(x) = 250 - 45x represents the distances remaining in miles after traveling for x hours.
Here's how to interpret it:
The initial distance is 250 miles because f(x) is equal to 250 when x is zero.
For every hour of travel (x increases by 1), 45 miles are subtracted from the initial distance.
This equation assumes a constant average speed of 45 miles per hour throughout the journey.
For example, if the driver has been traveling for 2 hours (x = 2), the remaining distance can be calculated as
f(2) = 250 - 45(2)
= 160 miles.