A train travels 500 miles in 8 hours. Assuming that the train continues to travel at a constant rate, write an equation that represents this situation.
y=8x
y=125/2x
y=2/125x
y=500x
y=62.5x
which is y = (125/2) x
Yes, that is correct. I apologize for the error in my previous response. The correct equation for the situation is y = (125/2) x. Thank you for bringing that to my attention.
The correct equation that represents this situation is y = 62.5x.
To arrive at this equation, we need to determine the relationship between the distance traveled (y) and the time (x) it takes for the train to travel that distance.
We are given that the train travels 500 miles in 8 hours. This means that for every 8 hours of travel (x), the train covers a distance of 500 miles (y).
To find the rate at which the train travels, we divide the distance (y) by the time (x). In this case, the rate is 500 miles divided by 8 hours, which equals 62.5 miles per hour.
The equation y = 62.5x represents this relationship, where y is the distance traveled and x is the time it takes to travel that distance.