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1 vote
If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

2 Answers

3 votes

Answer:

EDGE 2020

Explanation:

C) 30

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User Jonathan Heindl
by
6.7k points
4 votes

For this case we have that if "y" varies directly with "x", we can propose:


y = kx

Where "k" represents the constant of proportionality.

According to the data:


180 = kn\\n = k5

We substitute the second equation in the first:


180 = k * k5\\180 = 5k ^ 2\\k ^ 2 = \frac {180} {5}\\k ^ 2 = 36

We apply root:


k = \pm \sqrt {36}\\k = \pm6

If k = 6, then
n = 6 * 5 = 30

Answer:


n = 30

User Ruvi
by
7.3k points
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