Chapter 1.1, Problem 31PPS

To determine

To Evaluate:the expression to find the total cost for an ad and make a table showing the cost

Answer to Problem 31PPS

The expression for the total cost of ad with 6 lines is $8+\left(6\times 0.75\right)$

Number of lines	Expression	Evaluation	Cost ($)
$6$	$8+\left(6\times 0.75\right)$	$8+4.50=12.50$	$12.50$
$10$	$8+\left(10\times 0.75\right)$	$8+7.50=15.50$	$15.50$
$14$	$8+\left(14\times 0.75\right)$	$8+10.50=18.50$	$18.50$
$18$	$8+\left(18\times 0.75\right)$	$8+13.50=21.50$	$21.50$

Explanation of Solution

Given:

Costs of placing an ad $8 plus $0.75 for each line

An ad has 6 lines

There are 6, 10, 14, and 18 lines in the ad.

Calculation:

The total number of lines is 6, then the total cost for these 6 lines will be $8 plus 6 times 0.75(as for each line $0.75 cost is added so for total 6 lines, the extra cost will be 6x 0,75)

Thus, the expression for the total cost of ad with 6 lines is $8+\left(6\times 0.75\right)$

Now, evaluate this expression to find the total cost of ad with 6 lines is

  $8+\left(6\times 0.75\right)$

Now, to evaluate this expression, follow the order of operations. According to it, first solve the bracket.

  $8+\left(6\times 0.75\right)=8+4.50$

Now, perform the addition

  $8+\left(6\times 0.75\right)=8+4.50=12.50$

Thus, the total cost of ad with 6 lines is $12.50.

Now make a table showing the cost for 6, 10, 14 and 18 lines.

The expressions for any number of lines will be like that for 6 lines except that will replace

6 by 10, 14 or 18 as required.

Number of lines	Expression	Evaluation	Cost ($)
$6$	$8+\left(6\times 0.75\right)$	$8+4.50=12.50$	$12.50$
$10$	$8+\left(10\times 0.75\right)$	$8+7.50=15.50$	$15.50$
$14$	$8+\left(14\times 0.75\right)$	$8+10.50=18.50$	$18.50$
$18$	$8+\left(18\times 0.75\right)$	$8+13.50=21.50$	$21.50$

Conclusion:

Thus, the expression for the total cost of ad with 6 lines is $8+\left(6\times 0.75\right)$