# 5. P varies inversely as (m + 1) when p = 4 , m = 8 find the value p when m = 11 ?

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- KrishnamurthyLv 74 months ago
P varies inversely as (m + 1) when p = 4 , m = 8

Find the value p when m = 11

p = k / (m + 1)

p = 36 / (m + 1)

p = 36 / (11 + 1)

p = 36 / 12

p = 3

- llafferLv 74 months ago
if p varies inversely as (m + 1), then:

p = k / (m + 1)

When p = 4, m = 8, so we can use this to solve for k:

4 = k / (8 + 1)

4 = k / 9

36 = k

Now your equation is:

p = k / (m + 1)

p = 36 / (m + 1)

What's p when m = 11? Since m increased, we'd expect p to decrease.

p = 36 / (11 + 1)

p = 36 / 12

p = 3

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