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the variables x and y vary directly when x=10 and y=25. Write and equation that relates x and y. then find y when x=8

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The general governing equation here is y = k*x.

Find the constant of proportionality, k, by subbing 10 and 25 for x and y, respectively: 25 = k(10). Then k = 25/10, or 5/2.

The governing equation is now y = (5/2)x.

Evaluate this for x = 8: y = (5/2)(8) = 20 (answer)


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