Math, asked by JENNY2007, 5 months ago

x ∝ y. When x = 4, y = 20. Find the constant of variation and the equation of variation.​

Answers

Answered by lahar3282
11

Answer:

variation problems are solved using the equation y = kx. In this case, you should use p and q instead of x and y and notice how the word “square” changes the equation. Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when p = 20 and q = 5.

Hope it would help you.

Answered by pulakmath007
4

SOLUTION

GIVEN

x ∝ y When x = 4, y = 20.

TO DETERMINE

  • The constant of variation

  • The equation of variation.

EVALUATION

Here it is given that

x ∝ y

⇒ x = ky - - - - - - (1)

where k is constant of variation

Now it is given that when x = 4 , y = 20.

We get from Equation 1

4 = k × 20

\displaystyle \sf{ \implies k =  \frac{4}{20} }

\displaystyle \sf{ \implies k =  \frac{1}{5} }

\displaystyle \sf{The \:  constant \:  of  \: variation \:  =  \frac{1}{5} }

From Equation 1 we get

 \sf x =  \dfrac{y}{5}

Which is the required equation of variation.

FINAL ANSWER

\displaystyle \sf{The \:  constant \:  of  \: variation \:  =  \frac{1}{5} }

The equation of variation

 \sf x =  \dfrac{y}{5}

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