Question

The table below shows the price of buying apples at the market. Apples (in pounds), x 2, 4, 6 Total Price (in dollars), y 5, 10, 15 Which equation represents this relationship? A. y = 2.5x B. x= 2.5y C. y= 5x D. x=5y

Answer 1

By definition, Direct variation equations have this form:

$c=kz$

Where "k" is the Constant of variation.

Looking at the table given in the exercise, you can identify that "x" represents the weight of the apples (in pounds) and "y" represents the total price (in dollars).

In this case you need to find the price per pound in order to find "k":

$\begin{gathered} k=\frac{5}{2} \\ \\ k=2.5 \end{gathered}$

That means that the price of 1 pound of apples is $2.5

Knowing that the Total price is $2.5 per pound of apples, you can determine that the equation that represents this relationship is:

$y=2.5x$

The answer is: Option A.