Think back to the marathon in France. Write an equation to show the relationship between miles ran, y, and number of hours, x, if a racer was running 8 miles per hour. Is this a proportional relationship? Explain your answer.
The equation to show the relationship between miles ran (y) and number of hours (x) if a racer is running 8 miles per hour can be written as:
y = 8x
Yes, this is a proportional relationship. In a proportional relationship, the ratio between the two variables remains constant. In this case, for every hour (x) the racer runs, they cover 8 miles (y). The ratio of y/x is always 8, indicating a proportional relationship.