Chapter 4, Problem 1VR

Complete each statement with the correct word or phrase from the column on the right. Some of the choices will not be used.

proportion

discount

rate

sales

commission

price

percent increase

percent decrease

simple

compound

When a quantity is decreased by a certain percent, we say that this is a(n) _________.  [4.6b]

To determine

To fill: The appropriate word in the blank statement: When a quantity is decreased by a certain percent, we say that this is a(n)______.

Answer to Problem 1VR

Solution:

When a quantity is decreased by a certain percent, we say that this is a(n) percent decrease.

Explanation of Solution

Given information:

The appropriate word is chosen from the list provided below:

Proportion

Discount

Rate

Sales

Commission

Price

Percent increase

Percent decrease

Simple

Compound

Explanation:

Consider the provided information:

Now, for example, consider the cost of a pen is $\$2$, after a month the cost decreases to $\$1$.

Now, the decrement in the cost of a pen,

$\begin{array}{c}\text{cost of a pen}=\$2-\$1\\ =\$1\end{array}$

The percentage decrement in the cost of pen,

$\begin{array}{c}\text{percentage}=\frac{1}{2}\times 100\\ =50\%\end{array}$

In above the $50\%$ is the percent decrease in the cost of pen.

Therefore, when a quantity is decreased by a certain percent, we say that this is a(n) percent decrease.