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Transparency 2. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 2-4b. Objective. Solve problems by using the percent equation. Example 2-4b. Vocabulary. Percent equation. - PowerPoint PPT PresentationTRANSCRIPT
Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
Objective
Solve problems by using the percent equation
Vocabulary
Percent equation
An equation that describes the relationship between the part, total, and percent
Part = percent total
Example 1 Find the Part
Example 2 Find the Percent
Example 3 Find the Total
Example 4 Apply the Percent Equation
What number is 46% of 200?
Answer: x = 92
Translate from English to Algebra
Multiply
x =
Convert % to decimal
0.46 200
x = 92
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What number is 72% of 500?
Answer: x = 360
1/4
26 is what percent of 32?
Do inverse on both sides of the equal sign
Translate from English to algebra
26 x = 32 Solve for x
Ask “what is being done to the variable?”
The variable is being multiplied by 32
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26 is what percent of 32?
Bring down 26 = 32x
Answer:
26 x = 32
x
0.8125
2/4
Using the fraction bar, divide both sides by 32
Combine “like” terms
= 1 x Use the Identity Property to multiply 1 x 0.8125 = x
Variable defined as “What Percent” so multiply by 10081.25
Add percent sign %% = x
18 is what percent of 80?
Answer: x = 22.5%
2/4
12 is 40% of what number?
Translate from English to algebra
12 = 0.40 x
Ask “what is being done to the variable?”
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Solve for x
The variable is being multiplied by 0.40
Do inverse on both sides of the equal sign
12 is 40% of what number?
Answer:
12 = 0.40 x
x
30
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Bring down 12 = 0.40 x
Using the fraction bar, divide both sides by 0.40
Combine “like” terms
= 1 x Use the Identity Property to multiply 1 x
30 = x
36 is 90% of what number?
Answer: 40 = x
3/4
TELEVISIONS In the year 2000, 102.2 million homes in the United States had at least one television. Of these, 86% also had VCRs. How many homes had VCRs?
Words
Variable
Equation
86% of 102,200,000 is what number?
Let x represent number of homes with VCRs
0.86 102,200,000 = x
4/4
Variable is already by itself
Multiply
Answer:
0.86 102,200,000 = x
87,892,000 = x
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How many homes had VCRs?
Add dimensional analysis
87,892,000 homes with VCRs
COLLEGE A local college has an enrollment of 25,700 students. Of these students, 22% are from out of state. How many of the students are from out-of- state?
Answer: 5,654 students from out-of-state
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Assignment
Lesson 8:2 Algebra: The Percent Equation 8 - 24 All