uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5

An equation for the inverse variation y = 2 when x = 5 is:

y=10/x

Step-by-step explanation:

Suppose that y varies inversely with x:

y=k/x

Write an equation for the inverse variation y = 2 when x = 5

Substituting y by 2 and x by 5 in the formula above:

2=k/5

Solving for k: Multiplying both sides of the equation by 5:

5 (2) = 5 (k/5)

10=k

k=10

Then the equation is:

y=k/x

y=10/x