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)
294 miles per 14 gallons = 21 miles per 1 gallon
9. 10^42
10. 59049 x 2^36
11. 12^28
12. 1.85302019 x 10^15
13. 2^11
14. 1/2
15. -1
Answer:
125
Step-by-step explanation:
Divide 50 by the 4 acres which is 12.5, then times 12.5 by 10 acres.
<span>The dependent variable is the value that changes when one factor is changed. The independent variable is what being changed in a system. For this cae the dependent variable would be the height of the parasail while the independent variable would be the speed of the motorboat.</span>