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Exponential models
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- 2. EXPONENTIAL GROWTH The rule forexponential growth can be modeled by Y = abˣ where a is the starting number, b is the growth factor, and x is the number of intervals (minutes, years, and so on).
- 3. EXAMPLE 1. In 2015,there were 12,500 enrollees at Bangtan National High school. The population of the students grows 4% every year. At this rate, how many students will there be on this school by 2021?
- 5. EXAMPLE 2 2.Philippines isone of the countries that has the most number of covid-19 patient. It grows at a rate of 3% each day. There are 1,000 newly reported cases today. If it is still continuous to rise at this rate how many covid cases will there be one month from now?
- 7. SIMPLE INTEREST RATES If acertain quantity increases by a fixed percent each year (or any other time period), the amount y of that quantity after t years can be modeled by the equation: y = a(1+r)ᵗ where: a = initial amount r = is the percent l + r = growth factor increased expressed as decimal
- 8. COMPOUND INTEREST RATES A real-lifeapplication of exponential growth occurs in the computation of compound interest. The formula for the compound interest is: A = P(1+r/n)^nt where: A = compound amount t = time in years P = principal n = period per year
- 9. EXAMPLE Maricar puts ₱10,000in her savings account to be use for her education paying 5% annual interest compounded monthly. At this rate how much money will be in the account after 2 years?
- 11. THANK YOU and GOOD DAY RandallD. Lulu 11-ST.Pedro Calungsod