Chapter 6, Problem 19MCQ

To determine

To complete: The given table and find whether the pattern forms a proportion r not.

Explanation of Solution

Given information:

Consider entrance fees $\$3$ and $\$2$ per barrel of apples.

Calculation:

Let n is the number of barrels.

Cost of barrel of apples $=2n+3$

  $\begin{array}{l}n=1\Rightarrow 2n+3=5\\ n=2\Rightarrow 2n+3=7\\ n=3\Rightarrow 2n+3=9\\ n=4\Rightarrow 2n+3=11\\ n=5\Rightarrow 2n+3=13\end{array}$

number of barrels	$1$	$2$	$3$	$4$	$5$
Cost   $\$$	$5$	$7$	$9$	$11$	$13$

Find the ratio of number of barrels to cost on each case:

  $\begin{array}{l}1/5,\\ 2/7,\\ 1/3,\\ 4/11,\\ 5/13\end{array}$

The ratio is not equal.

Hence,

The pattern does not form proportion.