Question

Hours (h) Miles (m)

2 6
2.5 7.5
3 9
Write an equation that represents the relationship between hours (h) and miles (m).
a) m = 3h
b) m = 2h + 3
c) m = 2h + 6
d) m = 3h + 6

Answer 1

The equation that represents the relationship between hours (h) and miles (m) is m = 2h + 3.

Step-by-step explanation:

The equation that represents the relationship between hours (h) and miles (m) is m = 2h + 3.

To understand why, let's look at the given data points. We have 2 hours and 62.5 miles, and 3 hours and 9 miles. We can see that for each additional hour, the number of miles increases by 2.

In other words, the rate of change in miles is 2 for every 1 hour. This can be represented by the equation m = 2h + 3, where m is the number of miles and h is the number of hours.