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Bell Ringer # 6 Quick Review

Bell Ringer # 6 Quick Review. (1.9 x 10 2 )(4.7 x 10 6 ) 3 √343 216 5/3. Chapter 7.6 Notes Objectives. SWBAT solve problems involving exponential growth. SWBAT solve problems involving exponential decay. Students will model with mathematics. Equation for Exponential Growth.

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Bell Ringer # 6 Quick Review

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  1. Bell Ringer # 6 Quick Review • (1.9 x 102)(4.7 x 106) • 3√343 • 216 5/3

  2. Chapter 7.6 NotesObjectives • SWBAT solve problems involving exponential growth. • SWBAT solve problems involving exponential decay. • Students will model with mathematics.

  3. Equation for Exponential Growth y = a(1 + r)t a is the initial amount. t is time r is the rate of change expressed as a decimal, r > 0. y is the final amount

  4. Example: Exponential Growth • Write and equation to represent the amount of the gift card in dollars after t days with no winners • How much will the gift card be worth if no one wins after 10 days?

  5. Example # 1 A college’s tuition has risen 5% each year since 2000. If the tuition was $10, 850 in 2000, write an equation for the amount of the tuition t years after 2000. Predict the cost of tuition for this college in 2015. • Write an equation: • Solve the equation:

  6. Compound Interest A = P ( 1 + r/n)nt A is the current amount. n is the number of times the interest is compounded in a year. t is the time in years. r is the annual interest rate expressed as a decimal, r>0 P is the principal, or initial amount of money

  7. Example: Compound Interest • Maria’s parents invested $14,000 at 6% per year compounded monthly. How much money will there be in the account after 10 years?

  8. Example #2 • Determine the amount of an investment if $300 is invested at an interest rate of 3.5% compounded monthly for 22 years.

  9. Equation for Exponential Decay y = a(1 - r)t a is the initial amount. t is time r is the rate of decay expressed as a decimal, 0< r < 1. y is the final amount

  10. Example: Exponential Decay A fully inflated child’s raft for a pool is losing 6.6% of its air every day. The raft originally contained 4500 cubic inches of air. • Write an equation to represent the loss of air. • Estimate the amount of air in the raft after 7 days.

  11. Example #3 • The population of Campbell County, Kentucky has been decreasing at an avg. rate of about 0.3% per year. In 2000, its population was 88, 647. Write an equation to represent the population since, 2000. If the trend continues, predict the population in 2010.

  12. Quick Quiz The number of people who own computers has increased 23.2% annually since 1990. If half a million people owned a computer in 1990, predict how many people will own a computer in 2015. HOMEWORK: pg. 434 ( 5-11 odds; 21-24 all)

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