Understanding Variation in Math: Q varies as w

19 Nov 2023

Introduction

In mathematics, when two variables vary in relation to each other, it is said that one variable "varies as" the other. In this case, we will explore how the value of Q varies as the value of w changes.

Given Data

Q varies as w. If q is 24 when w is 36, find q when w is 288.

Solution

Answer: Value of Q when W = 288 is 192

Explanation: Given that;

q varies as w [Using ratio property]
Value of q = 24
Value of w = 36

Find Value of Q when W = 288

Computation:

If Q varies as W, their ratio must be the same. So, using the ratio property to find the factor:

q / w = Q / W

24 / 36 = q / 288

Q = (24 x 288) / 36

Q = 6912 / 36

Value of Q when W = 288 is 192