Question

Moving at a constant rate, a race car travels 242 miles in 2 hours and 726 miles in 6 hours. Which equation represents the relationship between the number of hours (x) and the distance the race car travels (y)?

A) y = 121x
B) y = 726x
C) y = 121x^2
D) y = 121x + 121

Answer 1

The equation that represents the relationship between the number of hours (x) and the distance the race car travels (y) is y = 121x.

Step-by-step explanation:

To find the equation that represents the relationship between the number of hours (x) and the distance the race car travels (y), we need to determine the constant rate at which the car is traveling. We can do this by calculating the speed of the car using the formula speed = distance / time. From the given information, we know that the car travels 242 miles in 2 hours and 726 miles in 6 hours. We can calculate the speed as follows:

1. Speed = Distance / Time
2. Speed in first scenario = 242 miles / 2 hours = 121 miles per hour
3. Speed in second scenario = 726 miles / 6 hours = 121 miles per hour

Since the car is traveling at a constant speed of 121 miles per hour, the equation that represents the relationship between the number of hours (x) and the distance the race car travels (y) is y = 121x.