Question

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

Answer 1

Answer:

P = 8

Step-by-step explanation:

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

P = $\frac{k}{x}$ ← k is the constant of variation

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

7 = $\frac{k}{8}$ ( multiply both sides by 8 )

56 = k

P = $\frac{56}{x}$ ← equation of variation

When x = 7 , then

P = $\frac{56}{7}$ = 8