Question

Math is so hard guys

Answer 1

A representation of the direct relation equation
`y = (4)/(3)\cdot x` is shown in the image attached below.

How to determine the constant of proportionality

In this problem we find an example of direct relation, that is, a relation of the form:

y ∝ x

y = k · x

Where:

• x - Number of grams of gold in the alloy.
• y - Number of grams of nickel in the alloy.
• k - Constant of proportionality.

First, choose a point of the direct relation:

P(x, y) = (6, 8)

Second, find the constant of proportionality:

`k = (y)/(x)`

`k = (8)/(6)`

`k = (4)/(3)`

Third, write the direct relation formula:

`y = (4)/(3)\cdot x`

A representation of the direct relationship is shown below.