Question

In a direct variation, y = 14 when x = 7. Write a direct variation equation that shows therelationship between x and y.Write your answer as an equation with y first, followed by an equals sign.Submit

Answer 1

A direct variation (or proportional) relationship can be expressed as:

`y=kx`

where k is the constant of proportionality or unit rate.

If we have a point where y=14 and x=7, we can calculate it as:

`k=(y)/(x)=(14)/(7)=2`

We can then write the function as:

`y=2x`

Answer: y=2x