<span><span>The average rate of change formula is basically the slope formula, where you plug in: f(b)-f(a)/b-a. Then plug in the numbers. [f(0)=1,f(3)=7)]. So, 7-1/3-0. 6/3 is 2 so the average rate of change is 2. And that makes sense because the average rate of change is always the slope, and the slope is 2.</span></span>
Answer:
Hi there!
Your answer is:
<em>8</em><em>.</em><em>6</em><em> </em><em>units</em>
Step-by-step explanation:
The distance formula is
√ ( (x2-x1)^2 + (y2-y1)^2 )
In your points:
A (-3, -2)
-3 is x1
-2 is y1
B (4, -7)
4 is x2
-7 is y2
Plug in to distance formula
√ ( 4-( -3))^2 + ( -7 - (-2))^2
√ (4+3)^2 + (-7+2)^2
√ (7^2) + ( -5)^2
√ 49 + 25
√ 74
This equals roughly 8.6 units!