Answer: 603
Step-by-step explanation:
Average rate of change is the slope [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] over the given interval.
Interval [7, 9] is between x = 7 and x = 9. Use the table to see that the coordinates are (7, 1852) and (9, 3878). Then use the slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{3878-1852}{9-7}\\\\.\quad =\dfrac{2026}{2}\\\\.\quad = 1013[/tex]
Interval [4, 6] is between x = 4 and x = 6. Use the table to see that the coordinates are (4, 358) and (6, 1178). Then use the slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{1178-358}{6-4}\\\\.\quad =\dfrac{820}{2}\\\\.\quad = 410[/tex]
Next, find the difference between the slopes above:
[7, 9] - [4, 6]
= 1013 - 410
= 603
