Answer:
Step-by-step explanation:
Given the following :
Number of laptops in 2015 = 759
t(x) = 75x + 759 ; model to determine number of laptops at the school. X years after 2015.
Number of laptops in the school in 2020:
Answer:985,600
Step-by-step explanation:
Answer:
![\huge\boxed{4x+y=-3}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B4x%2By%3D-3%7D)
Step-by-step explanation:
The point-slope form of an equation of a line:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
<em>(x₁, y₁)</em><em> - point on a line</em>
<em>m</em><em> - slope</em>
<em />
We have
![m=-4,\ (-2,\ 5)\to x_1=-2,\ y_1=5](https://tex.z-dn.net/?f=m%3D-4%2C%5C%20%28-2%2C%5C%205%29%5Cto%20x_1%3D-2%2C%5C%20y_1%3D5)
Substitute:
![y-5=-4(x-(-2))\\\\y-5=-4(x+2)](https://tex.z-dn.net/?f=y-5%3D-4%28x-%28-2%29%29%5C%5C%5C%5Cy-5%3D-4%28x%2B2%29)
Convert to the standard form
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
<em> use the distributive property</em>
![y-5=(-4)(x)+(-4)(2)](https://tex.z-dn.net/?f=y-5%3D%28-4%29%28x%29%2B%28-4%29%282%29)
<em>add 5 to both sides</em>
![y-5+5=-4x-8+5](https://tex.z-dn.net/?f=y-5%2B5%3D-4x-8%2B5)
<em>add 4x to both sides</em>
![4x+y=-4x+4x-3\\\\4x+y=-3](https://tex.z-dn.net/?f=4x%2By%3D-4x%2B4x-3%5C%5C%5C%5C4x%2By%3D-3)