Question

A quantity m varies jointly with p and r. when p is 2 and r is 4, m is 1. what is the constant of variation?

Answer 1

The constant of variation is 1/8.

What is variation?

The discrepancy among an ideal and real scenario is referred to as the Law of Variation. The most frequent manifestations of variation or variability are changes in the data, anticipated results, or minor changes in the quality of the output.

The types of variation are given below-

• Where a variable is a fixed multiple of another, this is known as direct variation. For instance, my income varies directly (or proportionally) with the amount of hours I put in.
• When one of the variables rises, the other one falls—this is known as inverse and indirect variation (product is constant). For instance, the length of time an air conditioner is operating has an indirect (equal or inverse) impact mostly on temperature in my home.
• Joint variation occurs when at least two factors are directly associated. For instance, a triangle's base and height are both related to the triangle's area.

According to the question;

A quantity m varies jointly with p and r which shows that p and r in joint variation with m.

m ---> pr

m = kpr

where, k is the constant of variation.

m = 1, p = 2, r = 4.

Substitute the values in the relation,

1 = k(2)(4)

1  = 8k

k = 1/8

Therefore, the constant of variation is 1/8.

To know more about the constant of variation, here

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