Question

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

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

y = kx

72 = 3k

24 = k

y = 24x

y = kx

72 = 3k

24 = k

y = 24x