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dmitriy555 [2]
3 years ago
11

The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

inutes he spends playing his guitar g. Write an equation that describes the pattern in the table
G 30 60 90 120
P 0 15 30 45
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

<u>Answer-</u>

The equation that describes the pattern is,

\boxed{\boxed{y=2{x}+30}}

<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)

Taking first two points i.e (0,30),(15,60), the line equation will be,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}

\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}

\Rightarrow 15(y-30)=30{x}

\Rightarrow y-30=2{x}

\Rightarrow y=2{x}+30

Putting the other two points i.e (30,90),(45,120) in the equation, they also satisfy the equation. That means they are also on the same line y=2{x}+30.

From the result, it is evident that P and G are linearly related.

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