Determine the value of x when y equals 5, given that x is directly proportional to (4y - 1) and x is 14 when y is 2.

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Subject: Ratio and Proportionmathematics-mcqs › ratio-and-proportion
Published: 10 Oct 2019
Last updated: 28 May 2026

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Explanation

Let z = 4y - 1. When y = 2, z = 4(2) - 1 = 7 and x = 14. Since x varies directly with z, the constant of proportionality k = x / z = 14 / 7 = 2. For y = 5, z = 4(5) - 1 = 19. Therefore, x = k * z = 2 * 19 = 38.

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Determine the value of x when y equals 5, given that x is directly proportional to (4y - 1) and x is 14 when y is 2.

Explanation

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