Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:
![\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%5C%3Abetween%5C%3Atwo%5C%3Apoints%7D%3A%5Cquad%20%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%282%2C%5C%3A1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%283%2C%5C%3A5%5Cright%29)
![m=\frac{5-1}{3-2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5-1%7D%7B3-2%7D)
![m=4](https://tex.z-dn.net/?f=m%3D4)
As the slope-intercept form of the line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.
![1=\left(4\right)2+b](https://tex.z-dn.net/?f=1%3D%5Cleft%284%5Cright%292%2Bb)
![8+b=1](https://tex.z-dn.net/?f=8%2Bb%3D1)
![8+b-8=1-8](https://tex.z-dn.net/?f=8%2Bb-8%3D1-8)
![b=-7](https://tex.z-dn.net/?f=b%3D-7)
So putting
and
in the slope-intercept form of the line
![y=\left(4\right)x+\left(-7\right)](https://tex.z-dn.net/?f=y%3D%5Cleft%284%5Cright%29x%2B%5Cleft%28-7%5Cright%29)
![y=4x-7](https://tex.z-dn.net/?f=y%3D4x-7)
Therefore, the equation for the linear function will be:
![y=4x-7](https://tex.z-dn.net/?f=y%3D4x-7)
Answer:
Step-by-step explanation:
<em>Refer to attached</em>
<u>Comparing sales by the ratio of sold to all or</u>
- Sales = sold / (remaining + sold)
<u>Applying to our table:</u>
- New Labels: p/(p+q)
- Old labels: r/(r+s)
Correct answer option is the last one
B is incorrect. I may be using the wrong word, but addition and multiplication are commutative, so the numbers can be added in any order or multiplied in any order and you’d still get the same sum or product. However, you can’t do this with subtraction or division as the difference or quotient will be different.
Answer:
A) 840 Miles
B) 14 Milers per Gallon
Step-by-step explanation:
A) 350/24 = 14 miles per gallon
14 X 60 = 840 miles.
B) 350/24 = 14 miles per gallon
Divide 7 by 20 to get the decimal form of 7/20 and then see which one of the statistics match it should be the on base statistic