Answer:
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
The denominator must be the same, so just think of the LEAST COMMON MULTIPLE, The LCM here is 8, because you can multiply 4 by 2 to get 8.
so when you multiply, you multiply both on the top and on the bottom, so this would be:
3 x 2 / 4 x 2 = 6 / 8
Now you can add or subtract: 6/8 - 1/8 = 5/8
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