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Ilya [14]
3 years ago
10

If y varies inversely as x. Using the coordinates (5, 3) and (x, 2.5), find the missing value x.

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = \frac{k}{5} ( multiply both sides by 5 )

15 = k

y = \frac{15}{x} ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = \frac{15}{x} ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )

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