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Musya8 [376]
2 years ago
13

The following set of ordered pairs represents a power inverse variation. Find the value of r given that k = 5.

Mathematics
1 answer:
pochemuha2 years ago
4 0

Answer:

r=2

Step-by-step explanation:

y = k x^r  is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

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