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If x varies directly as y, and x = 24 when y = 8, find x when y = 30.

By SizegeneticstorePosted on June 21, 2022

If x varies directly as y, and x = 24 when y = 8, find x when y = 30.

Answer:

x=90

Step-by-step explanation:

Direct Variation

If x=24 when y=8,

(find the value of the constant of the variation k)

$x = ky \\ 24 = k(8) \\ \frac{24}{8} = \frac{8k}{8} \\ 3 = k \\ k = 3$

when y=30,

$x = ky \\ x = (3)(30) \\ x = 90$

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