Chapter 6.4, Problem 20HP

To determine

To find: Whether Monica’s age is proportional to Patrice’s age or not.

Answer to Problem 20HP

Monica’s age is not proportional to Patrice’s age.

Explanation of Solution

Given information:

Consider when Monica’s age $12$ years Patrice’s age $6$ years.

Calculation:

The difference between ages is $12-6=6$ years

Make a table of values

Monica’s	$12$	$14$	$16$	$18$
Patrice’s	$6$	$8$	$10$	$12$

Find the ratios of ages

$\begin{array}{l}\Rightarrow \frac{12}{6}=2\\ \Rightarrow \frac{14}{8}=\frac{7}{4}\\ \Rightarrow \frac{16}{10}=\frac{8}{5}\\ \Rightarrow \frac{18}{12}=\frac{3}{2}\end{array}$

The ratios of their ages are different.

Hence, Monica’s age is not proportional to Patrice’s age.