Question

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

Answer 1

r=-2

Explanation:

because i had this questiion and i got it right

Answer 2

r=2

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