x ∝ y. When x = 4, y = 20. Find the constant of variation and the equation of variation.
Answers
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.
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
From Equation 1 we get
Which is the required equation of variation.
FINAL ANSWER
The equation of variation
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