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Unit 2.3 Notes

This lesson focuses on defining the components of percentage problems: Part, Base, and Rate. We'll analyze examples from real life, such as household dog ownership in Florida and language use in the U.S., to identify these elements. Additionally, we will learn to calculate the Base using the formula P = B * R, leading to B = P/R. Practice problems will cover various scenarios, including family income allocation and pass rates for exams. Join us to enhance your understanding of percentages and their applications!

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Unit 2.3 Notes

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  1. Unit 2.3 Notes Finding Base

  2. The formula from last class Part = Base  Rate P = B  R

  3. Identify Part, Base and Rate in the following statements: • In the state of Florida, 28.3% of households own a dog. There are approximately 4.8 million households in Florida. 1.4 million households own a dog. • In the United States, there are approximately 330 million people. According to the 2010 Census, 12.4% of those people speak Spanish at home. That is, approximately 41 million people.

  4. Identify Part, Base and Rate in the following statements: • In the state of Florida, 28.3% of households own a dog. There are approximately 4.8 million households in Florida. 1.4 million households own a dog. • In the United States, there are approximately 330 million people. According to the 2010 Census, 12.4% of those people speak Spanish at home. That is, approximately 41 million people. Rate

  5. Identify Part, Base and Rate in the following statements: • In the state of Florida, 28.3% of households own a dog. There are approximately 4.8 million households in Florida. 1.4 million households own a dog. • In the United States, there are approximately 330 million people. According to the 2010 Census, 12.4% of those people speak Spanish at home. That is, approximately 41 million people. BASE

  6. Identify Part, Base and Rate in the following statements: • In the state of Florida, 28.3% of households own a dog. There are approximately 4.8 million households in Florida. 1.4 million households own a dog. • In the United States, there are approximately 330 million people. According to the 2010 Census, 12.4% of those people speak Spanish at home. That is, approximately 41 million people. PART

  7. Say which component of these percent problems is missing (do not solve). • The Johnson family has a monthly income of $6,310. They spend 85% of their earnings and save the balance for the down payment on a house. How much do the Johnson’s spend each month? • The number of people who passed the real estate license exam last year in Manatee County was 419. If this was a 65% pass rate, how many took the exam? PART BASE

  8. Last class: We learned how to find PART Today… We’ll learn how to find BASE

  9. Use the basic percent formula to solve for BASE. P = B  R Solve for B. B = P/R

  10. Example: • 8 is 4% of ______. 8 = 200 .04

  11. Solve for base, using B = P/R • 15 is 10% of ______. • 62 is 1% of ______. • 1.6 is 40% of ______. 150 6200 4

  12. Solve the following problems. • The Johnson family has a monthly income of $6,310. They spend 85% of their earnings and save the balance for the down payment on a house. How much do the Johnson’s spend each month? • The number of people who passed the real estate license exam last year in Manatee County was 419. If this was a 65% pass rate, how many took the exam?

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