1.3 Exponential Functions Day 1

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Presentation transcript:

1.3 Exponential Functions Day 1 Date Calculus AB Ms. Brewer

Vocab/Formulas Exponential Growth: If b>1 Exponential Decay: If 0<b<1

Example 1: $100 is invested in 1996 at 5 Example 1: $100 is invested in 1996 at 5.5% interested compounded annually. How much will there be in 4 years?

Rules for Exponents

Example 2: Use the table and an exponential model to predict the population of the US in the year 2010. Year Population (millions) 1986 4936 1987 5023 1988 5111 1989 5201 1990 5329 5023/4936=1.0176 5111/5023=1.0175 1.0176 1.0246 Calculator Way of Solving: Enter table into L1 and L2 Exponential Regression STAT CALC #10 EXP REG ENTER

Example 3: The half-life of a substance is 20 days Example 3: The half-life of a substance is 20 days. If the initial amount was 5g, when will there be only 1 gram remaining?

Assignment Pg. 26 3-36(by 3’s)