The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form.y=45; x=40
Accepted Solution
A:
We are given that: variables x and y vary directly, this means that: y = kx where k is the constant of proportionality
Now, we are also given that: y = 45 at x = 40. We will use these values and substitute in the above relation to get k as follows: y = kx 45 = 40k k = 45/40 = 9/8 = 1.125
Based on the above calculations, the equation that relates x and y is: y = 1.125x