Question

P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7. A. 0.125 B. 1 C. 7 D. 8​

Answer 1

Step-by-step explanation:

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