Please help me! I'm behind on my math and need some help.! Describe situations in which you have heard a percent increase or percent decrease discussed. For example, you might mention hearing a report that school revenues have increased by five percent.

Step-by-step explanation:

Example 1: Ann works in a supermarket for $10.00 per hour. If her pay is increased to $12.00, then what is her percent increase in pay?

Analysis: When finding the percent increase, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.

Solution:

The percent increase in Ann's pay is 20%.

Let's look at an example of percent decrease.

Pink slipsExample 2: The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

Analysis: When finding the percent decrease, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.

Solution:

There was a 27.5% decrease in staff.

Percent increase and percent decrease are measures of percent change, which is the extent to which something gains or loses value. Percent changes are useful to help people understand changes in a value over time. Let's look at some more examples of percent increase and decrease.

In Example 1, we divided by 10, which was the lower number. In Example 2, we divided by 40, which was the higher number. Students often get confused by this. Remember that the procedure above asked us to divide by the original value. Another way to remember the procedure is to subtract the old value from the new value and then divide by the old value. Convert the resulting decimal to a percent. The formula is shown below.

pc formula

price per poundExample 3: At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

Solution: pc formula

There was an 8% increase in the cost of the item.

SawExample 4: Four feet are cut from a 12-foot board. What is the percent decrease in length?

Solution: pc formula

There was a 33.3% decrease in length.

Summary: Percent increase and percent decrease are measures of percent change, which is the extent to which something gains or loses value. Percent change is useful to help people understand changes in a value over time. The formula for finding percent change is:

pc formula

Exercises

Directions: Each problem below involves percent change. Enter your answer for each exercise without the percent symbol. Round your answer to the nearest tenth of a percent when necessary. For each exercise below, click once in the ANSWER BOX, type in your answer and then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are