You can write this ratio in two other ways:
7 to 13
7 : 13
Answer:
5/10
Step-by-step explanation:
0.5 converted to a fraction is 5 out of 10.
Hope this helps!
Let's take the percentage as x
(x / 100) * 5 = 0.35
x / 100 = 0.07
x = 7
therefore the percentage is 7%
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:
![Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=Average%20%5C%20rate%20%5C%20of%20%5C%20change%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
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:
![Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500](https://tex.z-dn.net/?f=Average%20%5C%20rate%20%5C%20of%20%5C%20change%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5CAverage%20%5C%20rate%20%5C%20of%20%5C%20change%3D%5Cfrac%7B6000-3000%7D%7B12-6%7D%5C%5CAverage%20%5C%20rate%20%5C%20of%20%5C%20change%3D%5Cfrac%7B3000%7D%7B6%7D%5C%5CAverage%20%5C%20rate%20%5C%20of%20%5C%20change%3D500)
So, average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Answer: x = 7
Step-by-step explanation:
2x - 6 = 8x - 48
+48
2x + 42 = 8x
-2x
42 = 6x
/6
7 = x