Chapter 6.4, Problem 2GP

To determine

If the number of ice cubes is proportional to number of drinks, based on data given in the table.

Answer to Problem 2GP

No, number of ice cubes is NOT proportional to number of drinks as their respective ratios are not equal to each other.

Explanation of Solution

Given information :  Given the following table, showing number of ice cubes and their respective number of drinks:

  

Concept used:

Two quantities are in proportion if there ratios are equal.

Calculation:

So, different said ratios in simplest fraction form are:

  $\frac{\text{Number}\text{of}\text{ice}\text{cubes}}{\text{Number}\text{of}\text{drinks}}=\frac{1}{6}$

Also, $\frac{\text{Number}\text{of}\text{ice}\text{cubes}}{\text{Number}\text{of}\text{drinks}}=\frac{2}{14}=\frac{1}{7}$

and, $\frac{1}{6}\ne \frac{1}{7}$

So, it is cleared that even first two given ratios are not equal to each other, so it is concluded that number of ice cubes is NOT proportional to number of drinks.