To find the rate of change, we can look at the difference in miles driven and the difference in time for each consecutive pair of points in the table.
For the first pair of points (4,204) and (6,306), the difference in miles driven is 306 - 204 = 102 and the difference in time is 6 - 4 = 2.
For the second pair of points (6,306) and (8,408), the difference in miles driven is 408 - 306 = 102 and the difference in time is 8 - 6 = 2.
For the third pair of points (8,408) and (5,510), the difference in miles driven is 510 - 408 = 102 and the difference in time is 5 - 8 = -3.
The rate of change is the constant difference in miles driven for each unit change in time. In this case, the rate of change is 102 miles per 2 units of time, or 51 miles per unit of time.
This means that for every unit increase in time, the number of miles driven increases by 51.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
The table shows the number of miles driven over time.
(4,204),(6,306),(8,408),(5,510)
1 answer
11 answers