Question

Logical Reasoning Describe the pattern shown in the table. Then write a variable expression involving n to complete the table. In the table, the three dots indicate that the pattern continues.

Short answer

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	…	$\$\left(n-0.05\right)$

Step-by-step solution

Step-1 – Apply the concept of Variable

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Step-2 – Given

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	…	$?$

Step-3 – Complete the table

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	…	$\$\left(n-0.05\right)$