Elus
assume that y varies inversely
with x. if y = 7 when x = -2, find y
when x = 7.
resources
y = [? ]

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.

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