Understanding Variation in Math: Q varies as w
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
Q varies as w. If q is 24 when w is 36, find q when w is 288.
Value of Q when W = 288 is 192