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Snezhnost [94]
3 years ago
5

Suppose that y varies directly as x and y=10 when x=8. Find the value of x when y=30

Mathematics
2 answers:
umka2103 [35]3 years ago
7 0

x = 24

30/10 = 3

So, 3x = 24

alexandr1967 [171]3 years ago
3 0

Varies directly: \frac{y}{x} = k

First, solve for k. Then replace the k-value into the equation and cross multiply to solve for the missing variable.

\frac{10}{8} = k   ⇒   \frac{5}{4} = k

\frac{30}{x} = \frac{5}{4}

30(4) = 5(x)

6(4) = x       <em>divided both sides by 5</em>

24 = x

Answer: 24


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