Question

How am I supposed to represent my proportional relationship table?

Answer 1

To find a proportional relationship in the table, the first thing we need to check is if the ratio between the variables remains the same.

In the first table, the ratio between the cost of the pizza to the number of toppings:

11.99/2 = 5.995, 13.49/3 = 4.4966. In this case, there is not a constant proportional relationship.

Conversely, the ratio between the cost of apples to pounds of apples, we have:

3.75/2 = 1.88, 5.64/3 = 1.88. In this case, there is a constant ratio between both variables.

Then, table B represents a proportional relationship.

To answer the second question, we already know that the equation of this proportional relationship is:

`(y)/(x)=1.88\Rightarrow y=1.88x`

Where y = cost of apples, and x = pounds of apples. We can rewrite this as follows:

`C=1.88\cdot P`

C = cost of apples, and P = pounds of apples.

We can check this if, for example, we have the pounds of apples is P = 5, then:

C = 1.88 * 5 ---> C = $9.40.