P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7.

The value of P when x = 7 is 7 and can be determined by using the arithmetic operations and given data.

Given :

The following steps can be used to determine the value of P when (x = 7):

Step 1 - Given that P varies inversely with x. That is:

Step 2 - The above expression can be written as:

Px = K   ---- (1)

where K is the proportionality constant.

Step 3 - Now, it is given that P = 7 when x = 8. Put the value of P and x in the above equation.

56 = K

Step 4 - Put the value of K = 56 and x = 7 in the equation (1).

P = 7

So, when x = 7 the value of P is 7.

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P = 8

Step-by-step explanation:

Given that P varies inversely with x then the equation relating them is

P = ← k is the constant of variation

To find k use the condition P = 7 when x = 8 , then

7 = ( multiply both sides by 8 )

56 = k

P = ← equation of variation

When x = 7 , then

P = = 8

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step-by-step explanation: