Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Answer 1

Answer:  603

Step-by-step explanation:

Average rate of change is the slope $m=\dfrac{y_2-y_1}{x_2-x_1}$ 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:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{3878-1852}{9-7}\\\\.\quad =\dfrac{2026}{2}\\\\.\quad = 1013$

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:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{1178-358}{6-4}\\\\.\quad =\dfrac{820}{2}\\\\.\quad = 410$

Next, find the difference between the slopes above:

  [7, 9] - [4, 6]

=  1013 -  410

=  603