Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
7. Discount
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Exercise 25 Page 166

A percent of change is a ratio that compares the change in quantity to the original amount.

Percent of Change: about 35 %
Increase or Decrease? Decrease.

Practice makes perfect
Let's start by recalling that a percent of change is a ratio that compares the change in quantity to the original amount. If the original quantity is increased, then it is called a percent of increase. If the original quantity is decreased, then it is called a percent of decrease. To determine the percent of change, we can use the following formula. Percent of change =Amount of change/Original amount In this case, the original quantity is $ 2.75, and the new quantity is $ 1.80. We can find the amount of change by subtracting the less value from the greater one. Amount of change = $ 2.75 - $ 1.80 = $ 0.95 Now let's use the formula to find the percent of change. To make the math easier, we can ignore the units for now.
Percent of change=Amount of change/Original amount
Percent of change=0.95/2.75
Percent of change= 0.345454...
Percent of change≈ 0.35
To write the decimal as a percent, we need to move the decimal point two places to the right and write the percent symbol.
Percent of change≈ 0.35
Percent of change ≈ 35 %
We found that the percent of change is about 35 %. Finally, let's state whether the percent of change is an increase or a decrease. To do so, we need to compare the original quantity with the new quantity. ccc Original quantity & & New quantity [0.5em] $ 2.75 & > & $ 1.80 Since the new quantity is less than the original quantity, this is a percent of decrease.