200 / 8 = 25
scale factor is 1:25 or 0.04
Answer:
![y = \frac{3}{4}x - 2](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%202%20)
Step-by-step explanation:
Equation of a line is given as ![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20)
Where,
m = slope of the line = ![\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
![m = \frac{1 - (-2)}{4 - 0}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B1%20-%20%28-2%29%7D%7B4%20-%200%7D%20)
![m = \frac{1 + 2}{4}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B1%20%2B%202%7D%7B4%7D%20)
![m = \frac{3}{4}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20)
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>
![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20)
![y = \frac{3}{4}x + (-2)](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20%2B%20%28-2%29%20)
![y = \frac{3}{4}x - 2](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%202%20)
Function: 12+0.5x
12+0.5x=18.5
0.5x=6.5
x=13 days
8n+3+9n+7=180
17n+10=180
17n=170
Answer
N=10
.285714286
All you have to do is divide them