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:
Answer:
y=x^4
Step-by-step explanation:
the equation is multiplying by 4 for every x value
Answer:
a. 14,000
b. 140,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hours: 1 5 10 15 20 25
Minutes: 60 300 600 900 1,200 1,500
These show proportional relationship because they are all times hour by 60 minutes and the hours go by 5 hours, each.
Answer:
C
Step-by-step explanation:
let's say the 18 was the 100 and x was the 20% of that 100, if they equal the same just take 20% of 18 (you will get 3.6)
Therefore is C : x/18 = 20/100.