First make an equation representing this.
Y= total length
X= the distance from each wall
13 = 2x + 3.5
13 = 2x + 3.5
subtract 3.5 from each side
9.5 = 2x
Divide 2 from each side
X = 4.75 ft
Answer:
<em>The average rate of change is $25.5 per hour, option B.</em>
Step-by-step explanation:
<u>Average Rate of Change
</u>
When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from
to
. It can be computed as the slope of a line
.
![\displaystyle m=\frac{C(x_2)-C(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7BC%28x_2%29-C%28x_1%29%7D%7Bx_2-x_1%7D)
The provided function is
![C(x)=25.50x + 50](https://tex.z-dn.net/?f=C%28x%29%3D25.50x%20%2B%2050)
We are required to compute the average rate of change between the points
![x_1=3\ ,\ x_2=9](https://tex.z-dn.net/?f=x_1%3D3%5C%20%2C%5C%20x_2%3D9)
Let's compute
![C(3)=25.50(3) + 50=126.5](https://tex.z-dn.net/?f=C%283%29%3D25.50%283%29%20%2B%2050%3D126.5)
![C(9)=25.50(9) + 50=279.5](https://tex.z-dn.net/?f=C%289%29%3D25.50%289%29%20%2B%2050%3D279.5)
![\displaystyle m=\frac{279.5-126.5}{9-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B279.5-126.5%7D%7B9-3%7D)
![\displaystyle m=\frac{153}{6}=25.5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B153%7D%7B6%7D%3D25.5)
The average rate of change is $25.5 per hour, option B.