Answer:
Average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Step-by-step explanation:
We need to find the average rate of change for the function for the interval
(6, 12]
The formula used to calculate Average rate of change is:

We are given a=6 and b=12
Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000
and when x=12, y=6000 so, f(b)=6000
Putting values in formula and finding Average rate of change:

So, average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Answer:
Y=8x
Step-by-step explanation:
The missing X value equals 5. The triangle was dilated by a scale factor of 3 and 15 / 3 = 5.
Answer:
hope this helps
Step-by-step explanation:
1/8 by 2 = 1/16 or 0.0625
1/3 by 10 = 1/30 or 0.03
Answer:
480 in²
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c², where "a" and "b" are side lengths of a right triangle, and c is the hypotenuse of the right triangle. We are given a side length of 30 inches and a hypotenuse of 34 inches, which will be "a" and "c" respectively. Therefore, we can solve for b, the missing side length:
a²+b²=c²
30²+b²=34²
900+b²=1156
b²=256
b=16
Therefore, the missing side length is 16 inches, making the area of the triangle A=bh=(30)(16)=480 in².