Question

Johanna is driving from Orlando, FL to Dallas, TX. The distance between Orlando and Dallas is 1,084 miles. Johanna's average rate of speed is 65 mph the function that represents

how many miles Johanna has left on her trip after t hours is f(t) = 1084 - 650.
Enter the number of miles Johanna has left on her trip after 12 hours of driving

Options:
A) 422 miles
B) 434 miles
C) 474 miles
D) 494 miles

Answer 1

After correcting a mistake in the function provided (f(t) = 1084 - 650 to f(t) = 1084 - 65t), the distance Johanna has left to travel after 12 hours is calculated to be 304 miles. This result does not match any of the options given.

Step-by-step explanation:

The student is asking for help with a function that calculates the remaining distance of a trip after t hours. The function given is f(t) = 1084 - 650, where 1084 represents the total distance from Orlando to Dallas, and 650 is supposed to represent the distance traveled at an average speed of 65 mph over t hours. However, there seems to be a typo in the function: instead of 650, it should be 65t. Using the corrected function f(t) = 1084 - 65t, we can find out how many miles Johanna has left to travel after driving for 12 hours.

To calculate the distance remaining after 12 hours:

1. Substitute t with 12 in the corrected function: f(12) = 1084 - 65(12).
2. Calculate 65 times 12, which equals 780.
3. Subtract 780 from 1084, which leaves us with 304 miles.

However, none of the provided options (A) 422 miles, (B) 434 miles, (C) 474 miles, (D) 494 miles match the result we calculated, which indicates there may be an error in the question or the options.