Answer:
A
Step-by-step explanation:
given
= ![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
using the method of cross- multiplication then
8P = 42 ( divide both sides by 8 )
P =
= 5.25
Answer:
500
Step-by-step explanation:
<u>Answer-</u>
The equation that describes the pattern is,
![\boxed{\boxed{y=2{x}+30}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7By%3D2%7Bx%7D%2B30%7D%7D)
<u>Solution-</u>
P = Number of minutes Rodney spends practicing playing the piano
G = Number of minutes Rodney spends practicing playing the guitar
Taking P on x axis and G on y axis, the points are,
![(0,30),(15,60),(30,90),(45,120)](https://tex.z-dn.net/?f=%280%2C30%29%2C%2815%2C60%29%2C%2830%2C90%29%2C%2845%2C120%29)
Taking first two points i.e
, the line equation will be,
![\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-y_1%7D%7By_2-y_1%7D%3D%5Cdfrac%7Bx-x_1%7D%7Bx_2-x_1%7D)
![\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-30%7D%7B60-30%7D%3D%5Cdfrac%7Bx-0%7D%7B15-0%7D)
![\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-30%7D%7B30%7D%3D%5Cdfrac%7Bx%7D%7B15%7D)
![\Rightarrow 15(y-30)=30{x}](https://tex.z-dn.net/?f=%5CRightarrow%2015%28y-30%29%3D30%7Bx%7D)
![\Rightarrow y-30=2{x}](https://tex.z-dn.net/?f=%5CRightarrow%20y-30%3D2%7Bx%7D)
![\Rightarrow y=2{x}+30](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2%7Bx%7D%2B30)
Putting the other two points i.e
in the equation, they also satisfy the equation. That means they are also on the same line
.
From the result, it is evident that P and G are linearly related.
The area of the following shape is 50