Direct Variation Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyIf \(y = kx\) and \(y = 24\) when \(x = 4\), find \(y\) when \(x = 7\).
Solution
- 1 \(k = 24/4 = 6\).
- 2 \(y = 6 \times 7 = 42\).
Answer
\(y = 42\)
In direct variation , find the constant first, then use it to calculate .
About Direct Variation
A proportional relationship that always passes through the origin — when one quantity doubles, so does the other.
Learn more about Direct Variation →More Direct Variation Examples
Example 1 easy
(y) varies directly with (x), and (y = 18) when (x = 3). Find the constant (k) and write the direct
Example 2 mediumThe cost of fabric varies directly with length. 5 meters costs $35. How much do 8 meters cost? Set u
Example 4 mediumA machine produces 150 units in 5 hours. Assuming direct variation, how many units in 9 hours?