Question

Josh is on a train trip to Treevale City. The train is traveling at a constant rate. After 5 hours on the train, there are 625 kilometers remaining to Treevale City.

After 8 hours, there are 484 kilometers remaining to Treevale City.
(a) Choose the statement that best describes how the time and the distance remaining to Treevale City are related. Then fill
in the blank.
As time increases, the distance remaining to Treevale City decreases.
The distance remaining to Treevale City decreases at a rate of kilometers per hour.
4
OAs time increases, the distance remaining to Treevale City increases.
The distance remaining to Treevale City increases at a rate of kilometers per hour.
8 08
X
5

Answer 1

5.5 35 by divideing in the miles by the miles

Answer 2

The distance to Treevale City decreases as time passes, at a rate of 47 kilometers per hour, calculated by the change in distance over the elapsed time.

Step-by-step explanation:

Josh's train trip to Treevale City helps us understand the relationship between time and distance remaining in his journey. As time increases, the distance remaining to Treevale City decreases. This is evident because after 5 hours there are 625 kilometers remaining, but after 8 hours, there are only 484 kilometers remaining. To find the rate at which the distance decreases per hour, we calculate the difference in distance over the difference in time.

To find the rate of decrease in kilometers per hour:

1. Subtract the remaining distance after 8 hours (484 km) from the remaining distance after 5 hours (625 km).
2. Subtract the time of 5 hours from 8 hours to find the elapsed time.
3. Divide the difference in distances by the elapsed time to find the rate.

By performing these calculations:

• 625 km - 484 km = 141 km
• 8 hours - 5 hours = 3 hours
• 141 km / 3 hours = 47 km/hour

So, the distance remaining to Treevale City decreases at a rate of 47 kilometers per hour as time progresses on Josh's trip.