Question

if x directly proportional to y and x1 = 5 , y1 = 210 ,and x2 = 2, then find y2?​

Answer 1

Answer:

Step-by-step explanation:

Since x ∝ y ;

Therefore

$\frac{x1}{y1}=\frac{x2}{y2}$

Substitute the values

x1 = 5

y1 = 210

x2 = 2

$\frac{5}{210} = \frac{2}{y2}$

$\frac{1}{42} =\frac{2}{y2}$

Cross multiply

y2 = 42 × 2

y2 = 84

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Answer 2

Given data:

$x$ is directly proportional to $y$

$x_{1}=5,\:y_{1}=210,\:x_{2}=2$

To find:

The value of $y_{2}$

Step-by-step explanation:

Since $x$ and $y$ are directly proportional, then

$\quad x\propto y$

$\Rightarrow x=ky$, where $k$ is constant

$\Rightarrow \dfrac{x}{y}=k$

$\Rightarrow \dfrac{x_{1}}{y_{1}}=\dfrac{x_{2}}{y_{2}}$

$\Rightarrow \dfrac{5}{210}=\dfrac{2}{y_{2}}$

• since $x_{1}=5,\:y_{1}=210,\:x_{2}=2$

$\Rightarrow y_{2}=2\times\dfrac{210}{5}$

$\Rightarrow y_{2}=84$

Final Answer:

The value of $y_{2}$ is $84$.

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