Chapter 6.4, Problem 13PPS

To determine

To complete: the given table and to find whether the patterns forms a proportion or not.

Answer to Problem 13PPS

The set of numbers in given table is not proportion.

Explanation of Solution

Given information:

Admission to amusement park is $4\$$ plus $1.50\$$ per ride.

Consider the table

Calculation:

Let n is the number of rides and c is the cost.

Then, the equation is $C=1.50n+4$

  $\begin{array}{l}n=1\Rightarrow C=1.50(1)+4\Rightarrow C=4.50\\ n=2\Rightarrow C=1.50(2)+4\Rightarrow C=7\\ n=3\Rightarrow C=1.50(3)+4\Rightarrow C=8.5\\ n=4\Rightarrow C=1.50(4)+4\Rightarrow C=10\\ n=5\Rightarrow C=1.50(5)+4\Rightarrow C=11.5\end{array}$

Number of rides	$1$	$2$	$3$	$4$	$5$
cost	$4.50$	$7$	$8.5$	$10$	$11.5$

The ratio of set of values in each case is different.

Hence,

The set of numbers in given table are not proportional.