Direct Variation Math Example 4
Follow the full solution, then compare it with the other examples linked below.
Example 4
mediumA machine produces 150 units in 5 hours. Assuming direct variation, how many units in 9 hours?
Solution
- 1 \(k = 150/5 = 30\) units per hour.
- 2 \(y = 30 \times 9 = 270\) units.
- 3 The machine produces 270 units in 9 hours.
Answer
270 units
Unit rate \(k = 30\) units/hour. In 9 hours: \(30 \times 9 = 270\) units.
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 3 easyIf (y = kx) and (y = 24) when (x = 4), find (y) when (x = 7).