Respuesta :
Answer:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
56 = k
P = [tex]\frac{56}{x}[/tex] ← equation of variation
When x = 7 , then
P = [tex]\frac{56}{7}[/tex] = 8
The value of P when x = 7 is 7 and can be determined by using the arithmetic operations and given data.
Given :
- P varies inversely with x.
- P = 7 when x = 8.
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:
[tex]\rm P \;\alpha \;\dfrac{1}{x}[/tex]
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.
[tex]\rm 7\times 8 = K[/tex]
56 = K
Step 4 - Put the value of K = 56 and x = 7 in the equation (1).
[tex]\rm P \times 8=56[/tex]
P = 7
So, when x = 7 the value of P is 7.
For more information, refer to the link given below:
https://brainly.com/question/20595275
