8 1/2=17/2=8.5
24,700 divided by 8.5=2,905,8823
OR
24,700:17/2 =24,700x2/17=2,905,8823
150x4 is 600 volume for the answer
We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.
1. We must use the next formula to find the slope
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Where (x1, y1) and (x2, y2) are the points.
Now, replacing the points in the formula for the slope
![m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B14-11%7D%7B8-2%7D%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D)
2. We must replace the slope and one of the points in the next formula
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Now, replacing the slope and the point (2, 11)
![\begin{gathered} y-11=\frac{1}{2}(x-2) \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-11%3D%5Cfrac%7B1%7D%7B2%7D%28x-2%29%20%5C%5C%20%20%5Cend%7Bgathered%7D)
3. We must delete the parenthesis and solve the equation for y
![\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-11%3D%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B2%7D%5Ccdot2%20%5C%5C%20y-11%3D%5Cfrac%7B1%7D%7B2%7Dx-1%20%5C%5C%20y%3D%5Cfrac%7B1%7D%7B2%7Dx-1%2B11%20%5C%5C%20y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B10%20%5Cend%7Bgathered%7D)
ANSWER:
<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>