Elus

Assume that y varies inversely

with x. If y = 7 when x = - 2, find y

when x = 7.

Resources

y = [?]

Answer: When x = 7, y = - 2

Step-by-step explanation:

According to question,

y ∝ 1 / x

To remove proportionality, include a constant. Let the constant be k.

y = k * (1 / x)

Now, we know that y = 7 when x = - 2

y = k * (1 / x)

7 = k * (1 / - 2)

k = - 14

The equation now becomes,

y = - 14 * (1 / x)

Now, we need to find y when x = 7.

y = - 14 * (1 / 7)

y = - 2

So, when x = 7, y = - 2.