Answer:
(a) and (f)
Step-by-step explanation:
Given
![y = 5x + 12](https://tex.z-dn.net/?f=y%20%3D%205x%20%2B%2012)
See attachment for table and options
First, we calculate the slope of the table
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Using:
![(x_1,y_1) = (2,29)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%282%2C29%29)
![(x_1,y_1) = (4,53)\\](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%284%2C53%29%5C%5C)
So, we have:
![m = \frac{53- 29}{4 - 2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B53-%2029%7D%7B4%20-%202%7D)
![m = \frac{24}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B24%7D%7B2%7D)
![m = 12](https://tex.z-dn.net/?f=m%20%3D%2012)
The equation is then calculated using:
![y = m(x -x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-x_1%29%20%2B%20y_1)
This gives:
![y = 12*(x -2) + 29](https://tex.z-dn.net/?f=y%20%3D%2012%2A%28x%20-2%29%20%2B%2029)
![y = 12x -24 + 29](https://tex.z-dn.net/?f=y%20%3D%2012x%20-24%20%2B%2029)
![y = 12x+5](https://tex.z-dn.net/?f=y%20%3D%2012x%2B5)
So, we have:
--- The given equation
and
--- The equation of the table
An equation is represented as:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: ![y = 5x + 12](https://tex.z-dn.net/?f=y%20%3D%205x%20%2B%2012)
Rate of change = 5
y intercept = 12
For the table: ![y = 12x+5](https://tex.z-dn.net/?f=y%20%3D%2012x%2B5)
Rate of change = 12
y intercept = 5
In conclusion:
(a)
has the greater rate of change:
and
(f)
has the greater y intercept
Answer:
4/20=1/5
Step-by-step explanation:
35% i did 500-325 to get 175 and then solved to see what percent of 500 equals 175
Answer:
L = 2W - 3
Step-by-step explanation:
If the length L of a rectangle is 3 less than twice the width W, then
L = 2W - 3