Chapter 1.1, Problem 54E

To determine

To write the variable expression which describe the pattern shown in the table provided in the question.

Answer to Problem 54E

The complete table is :

Cost of item (dollars)	1.00	2.00	3.00	4.00	…	$\$n$
Cost of tax (dollars)	1.05	2.10	3.15	4.20	…	$1.05n$

Explanation of Solution

Given information:

Consider, the table provided in the question,

Cost of item (dollars)	1.00	2.00	3.00	4.00	…	n
Cost of tax (dollars)	1.05	2.10	3.15	4.20	…	?

Calculation:

From the table provided in the question, it can be observed that the cost of each item is $1 and tax on each item is $0.05.

Hence,

The variable expression for Cost of n items is $\$n$ .

The variable expression for Cost with tax of n items is obtained as:

  $\begin{array}{l}\$\left(n+0.05n\right)\\ =n\left(1+1.05\right)\\ =1.05n\end{array}$

The complete table is shown below:

Cost of item (dollars)	1.00	2.00	3.00	4.00	…	$\$n$
Cost of tax (dollars)	1.05	2.10	3.15	4.20	…	$1.05n$