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3 years ago

A landscaper buys a tree that grows at a rate of 18 inches every 3 months.

Mathematics

1 answer:

ipn [44]3 years ago

8 0

1 it grows 18 inches every 3 months

there are 12 months in 1 year

12 dived by 3 = 4 so there are 4 times it will grow 18 inches

18 * 4 = 72 inches, amount it grows in 1 year

Answer is D

2. it grows 9 inches every 2 months

12/2 = 6 times a year it will grow

9 *6 = 54 inches total for 1 year

Answer is C

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Answer-

The equation that describes the pattern is,

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

Solution-

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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