Daniel is traveling 450 miles at an average speed of 50 mph to a job interview. He drives for 5 hours, stops for lunch, and resumes driving for x hours to the interview. Choose ALL correct statements for this situation.

Responses
A 50x + 5 = 45050x + 5 = 450
B 50(x + 5) = 45050(x + 5) = 450
C 50x + 250 = 45050x + 250 = 450
D The total time for the entire trip is 6 hours.The total time for the entire trip is 6 hours.
E The total time for the entire trip is 9 hours.

1 answer

A, B, and D are the correct statements for this situation.

Statement A is correct because the equation 50x + 5 = 450 represents the total distance traveled (50x) plus the initial 5 hours of driving (5) equaling the total distance of 450 miles.

Statement B is correct because the equation 50(x + 5) = 450 represents the average speed (50 mph) multiplied by the total time spent driving (x+5) equaling the total distance of 450 miles.

Statement D is correct because the total time for the entire trip includes the 5 hours spent driving initially and the additional time spent driving to the interview. The lunch break is not included in the total time.