To find the equation that represents the situation, we can look for a pattern in the given data. Let's examine the relationship between the hours of flying (h) and the distance traveled (m).
From the table, we can observe that as the hours of flying increase, the distance traveled also increases. To determine the equation, we need to find the relationship between h and m.
Let's calculate the rate of change between the hours and distance for each set of data points:
- For the first set (h = 1.5, m = 810), the rate of change is m/h = 810/1.5 = 540.
- For the second set (h = 2.5, m = 1350), the rate of change is m/h = 1350/2.5 = 540.
- For the third set (h = 4, m = 2160), the rate of change is m/h = 2160/4 = 540.
- For the fourth set (h = 7, m = 3780), the rate of change is m/h = 3780/7 = 540.
We can see that the rate of change between the hours and distance is consistent at 540. This indicates a linear relationship between h and m.
Therefore, the equation that represents the situation is:
m = 540h
In this equation, m represents the distance traveled in miles, and h represents the hours of flying.
