Chapter 8, Problem 24MCQ

To determine

To Check:Whether the proportional relationships exists between the two quantities.

Answer to Problem 24MCQ

The quantities are in proportional relationship

Explanation of Solution

Given:Determine whether the proportional relationships exists between the two quantities shown in each of the function indicated.

To determine if the quantities are proportional

Let the one ticket be $x$

It is given that cost of ticket is $\$12.75$

Then the equation becomes

  $x=\$12.75$

Now taking any number of tickets as

  $\begin{array}{l}x=\$12.75\\ 2x=2\times \$12.75=\$25.5\\ 3x=3\times \$12.75=38.25\end{array}$

Find $\frac{y}{x}$ for the points.

i.e.

Ratio of cost by ticket is .

  $\begin{array}{l}\frac{y}{x}\\ \frac{12.75}{1}=12.75\\ \frac{25.5}{2}=12.75\\ \frac{38.25}{3}=12.75\end{array}$

Since the ratios are equal the quantities are in proportional relationship