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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

Expert verified

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

…

$n-0.05

Step by step solution

01

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.

02

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

…

?

03

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:

$n-0.05

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

…

$n-0.05

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