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Questions and Answers
To solve percent problems, what proportion do you use?
To solve percent problems, what proportion do you use?
part/whole = percent/100
A book is priced at $22. When Jamie purchased the book, she paid $1.98 in sales tax. What percent sales tax did Jamie pay for the book?
A book is priced at $22. When Jamie purchased the book, she paid $1.98 in sales tax. What percent sales tax did Jamie pay for the book?
9%
What is 12% of 150?
What is 12% of 150?
18
When going out to dinner, Joe left a 21% tip. The tip was $9.50. How much was the dinner bill before tip?
When going out to dinner, Joe left a 21% tip. The tip was $9.50. How much was the dinner bill before tip?
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What is the formula for Percent Increase or Decrease?
What is the formula for Percent Increase or Decrease?
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Elly's bank account had $25 in January and increased to $45 in March. Find the percent increase.
Elly's bank account had $25 in January and increased to $45 in March. Find the percent increase.
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The temperature in Phoenix decreases from 112° on Friday to 103.6° on Saturday. What is the percent decrease?
The temperature in Phoenix decreases from 112° on Friday to 103.6° on Saturday. What is the percent decrease?
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Last week Target sold 315 notebooks. This week, they sold 252 notebooks. What is the percent decrease in sales? If the sales decrease by the same percent next week, how many notebooks will be sold?
Last week Target sold 315 notebooks. This week, they sold 252 notebooks. What is the percent decrease in sales? If the sales decrease by the same percent next week, how many notebooks will be sold?
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What is the formula for the Absolute Error?
What is the formula for the Absolute Error?
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A value that involves absolute error may be reported as what?
A value that involves absolute error may be reported as what?
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What is the formula for the Percent Error?
What is the formula for the Percent Error?
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The listed weight of a dog up for adoption is 35 pounds. A volunteer at the shelter weighs the dog and records a weight of 32.5 pounds. What is the absolute error and the percent error?
The listed weight of a dog up for adoption is 35 pounds. A volunteer at the shelter weighs the dog and records a weight of 32.5 pounds. What is the absolute error and the percent error?
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The actual density of gold is 19.32 g/cm3. A lab team measured the density of a gold sample in a lab and calculated a density of 19.01 g/cm3. What is the absolute error and the percent error?
The actual density of gold is 19.32 g/cm3. A lab team measured the density of a gold sample in a lab and calculated a density of 19.01 g/cm3. What is the absolute error and the percent error?
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Study Notes
Unit 4 - Ratios and Proportions
- Learning intention: Solve problems involving percentages.
- Notes are required for points.
- Access code to quiz needs three parts.
Proportional Relationships
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Solve percent problems using the proportion: part/whole = percent/100
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Example 1: A book costs $22, sales tax is $1.98. What is the sales tax percentage?
- part/whole = percent/100
- 1.98/22 = p/100
- p = 9%
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Example 2: What is 12% of 150?
- part/whole = percent/100
- part/150 = 12/100
- part = 18
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Example 3: Tip was $9.50, 21% tip, find dinner bill before tip
- part/whole = percent/100
- 9.50/w = 21/100
- w = $45.24 (rounded)
Percentages
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Percent Increase/Decrease: percent change = amount of change / original amount
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Example: Elly's bank account increased from $25 to $45. Find the percent increase.
- percent change = (45 - 25)/25
- percent change = 0.80 or 80%
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Example: Temperature in Phoenix decreased from 112° to 103.6°. Find the percent decrease.
- percent decrease = (112 - 103.6)/112
- percent decrease = 0.075 or 7.5%
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Example: Target sold 315 notebooks last week, 252 this week. Find the percent decrease.
- percent decrease = (315 - 252)/315
- percent decrease = 0.20 or 20%
Percents (Continued)
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Absolute Error: |measured value - actual value|
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Percent Error: (absolute error / actual value) * 100
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Examples (using provided values):
- Absolute and percent error for a dog's weight.
- Absolute and percent error for a gold sample's density.
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Success Criteria:
- Solve problems involving percentages.
- Take notes, as note submission is required for the quiz.
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Description
Test your understanding of ratios, proportions, and percent calculations in this quiz focused on Unit 4. You'll solve various percent problems using proportions and explore concepts like percent increase and decrease. Prepare to apply your knowledge to real-world scenarios.
