Question

b) P«,1/q If p = 15 , then q = 4, find the value ofk​

Answer 1

Answer:

p ∝ (1/q) … [Given] ∴ p = k × (1/q) where, k is the constant of variation. ∴ p × q = k …(i) When p = 15, q = 4 ∴ Substituting p = 15 and q = 4 in (i), we get p × q = k ∴ 15 × 4 = k ∴ k = 60 Substituting k = 60 in (i), we get p × q = k ∴ p × q = 60 This is the equation of variation. ∴ The constant of variation is 60 and the equation of variation is pq = 60. ii. z ∝ (1/w) …[Given] ∴ z = k × (1/w) where, k is the constant of variation, ∴ z × w = k …(i) When z = 2.5, w = 24 ∴ Substituting z = 2.5 and w = 24 in (i), we get z × w = k ∴ 2.5 × 24 = k ∴ k = 60 Substituting k = 60 in (i), we get z × w = k ∴ z × w = 60 This is the equation of variation. ∴ The constant of variation is 60 and the equation of variation is zw = 60. iii. s ∝ (1/t2) …[Given] ∴ s = k x (1/t2) ∴ where, k is the constant of variation, ∴ s × t2 = k …(i) When s = 4, t = 5 ∴ Substituting, s = 4 and t = 5 in (i), we get s × t2 = k ∴ 4 × (5)2 = k ∴ k = 4 × 25 ∴ k = 100 Substituting k = 100 in (i), we get s × t2 = k ∴ s × t2 = 100 This is the equation of variation. ∴ The constant of variation is 100 and the equation of variation is st2 = 100. iv. x ∝ (1/√y) …[Given] ∴ x = k x (1/√y) where, k is the constant of variation, ∴ x × √y = k …(i) When x = 15, y = 9 ∴ Substituting x = 15 and y = 9 in (i), we get x × √y = k ∴ 15 × √9 = k ∴ k = 15 × 3 ∴ k = 45 Substituting k = 45 in (i), we get x × √y = k ∴ x × √y = 45. This is the equation of variation. ∴ The constant of variation is k = 45 and the equation of variation is x√y = 45Read more on Sarthaks.com - https://www.sarthaks.com/854540/find-constant-variation-and-write-equation-variation-for-every-example-given-below-then?show=854554#a854554

Answer 2

Explanation:

Given: $p \propto \frac{1}{q}$

To find: Find constant of variation. if p=15, q=4.

Solution:

Step 1: Remove the sign of proportion.

We can remove the sign of proportion by a constant.

Let the Proportionality constant is k.

$p = \frac{k}{q}$

Step 2: Put the given values of p and q.

Put p=15 and q=4

$15 = \frac{k}{4}$

$k = 15 \times 4$

$\bf \green{k = 60}$

Final answer:

Constant of variation, k=60 in p ∝ 1/q, if p=15, q=4.

Hope it helps you.

To learn more on brainly:

Find constant of variation and write equation of variation for every example given below:

1)p a 1/q ; if p=15 then q=4

2...

https://brainly.in/question/25136414