Question

Is the price in dollars and pieces of chicken proportional?Pieces of Chicken (x) 7 8 6Price in dollars (y) 14 16 12

Answer 1

We are given the price in dollars (for chicken) as variable y. Also we are given the pieces of chicken as variable x.

To find out if they are proportional, we shall set up a ratio for one set of values and determine if the other sets of x and y are in the same ratio.

This is shown below;

`\begin{gathered} (x)/(y)=(7)/(14) \\ (x)/(y)=(1)/(2) \end{gathered}`

This means for every value of x, y becomes times 2.

We can now compare the other values as follows;

`\begin{gathered} (x)/(y)=(7)/(14)=(8)/(16)=(6)/(12) \\ (x)/(y)=(1)/(2)=(1)/(2)=(1)/(2) \end{gathered}`

This result shows that the price in dollars and pieces of chicken are proportional. For every piece of chicken sold/bought the amount paid in dollars is times two the quantity bought.

In other words, if you're buying 50 pieces of chicken, you'll be paying (50 times 2) $100 as an example.

ANSWER:

The price in dollars and chicken are proportional