Chapter 1.1, Problem 55E

To determine

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

Answer to Problem 55E

The complete table is:

Cost of item (dollars)	1.00	1.50	2.00	2.50	…	$n$
Cost with coupon (dollars)	0.50	1.00	1.50	2.00	…	$\$\left(n-0.05\right)$

Explanation of Solution

Given information:

Consider, the table provided in the question,

Cost of item (dollars)	1.00	1.50	2.00	2.50	…	$n$
Cost with coupon (dollars)	0.50	1.00	1.50	2.00	…	$?$

Calculation:

From the table provided in the question, it can be observed that the cost of item increases by $0.50 and discount availed by using coupon is $0.50.

Hence,

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

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

  $\$\left(n-0.05\right)$

The complete table is shown below:

Cost of item (dollars)	1.00	1.50	2.00	2.50	…	$n$
Cost with coupon (dollars)	0.50	1.00	1.50	2.00	…	$\$\left(n-0.05\right)$