Chapter 1.2, Problem 34PPE

To determine

To find: the amount of change that will get to purchases the things and make the table.

Answer to Problem 34PPE

There is drastic change which can be seen in the table.

Explanation of Solution

Given:

Expression for the amount of change it will get when it is pay for a purchase $p$ with a $\$20$ bill. Make a table to find the amounts of change it will get for purchases of $\$11.59,\$17.50,\$19.00\text{ and }\$20.$

Concept used:

Change in the amount formula:

Current amount − Base amount.

Or

Amount paid − total purchase.

Calculation:

Write an expression for the amount of change it will get when it is pay for a purchase $p$ with a $\$20$ bill. Make a table to find the amounts of change it will get for purchases of $\$11.59,\$17.50,\$19.00\text{ and }\$20.$

To write an expression for:

The amount of change it will get when it pays $\$20$ for the purchase of amount $p$ .

Let $A$ be the amount of change where $p$ is the amount of purchase and $\$20$ is the actual amount it is paid.

The amount of change $=$ amount which it is paid- total purchase.

Clearly, the expression for amount of change is:

  $A=\$\left(20-p\right)$ .

Below is the table showing the amount of change which it will get purchases of different amounts:

Sr. No	Total amount paid	Amount of purchase	Amount of change= Amount which he paid-total purchase	Final value of amount of change $A$
$1$	$\$20$	$\$11.59$	$\$20-\$11.59$	$\$8.41$
$2$	$\$20$	$\$17.50$	$\$20-\$17.50$	$\$2.5$
$3$	$\$20$	$\$19.00$	$\$20-\$19.00$	$\$1$
$4$	$\$20$	$\$20.00$	$\$20-\$20.00$	$\$0$

Hence, there is drastic change which can be seen in the table.