Question

Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5 ?

Answer 1

Answer:

y = 1

Step-by-step explanation:

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

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

To find k use the condition y = 25 when x = $\frac{1}{5}$ , then

25 = $\frac{k}{\frac{1}{5} }$ = 5k ( divide both sides by 5 )

5 = k

y = $\frac{5}{x}$ ← equation of variation

When x = 5, then

y = $\frac{5}{5}$ = 1