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Day 2 Graph 1. 2. 3. 8.8 Exponential Growth & Decay. I can recognize , set up, and solve exponential growth and decay problems. Exponential Growth. Growth : Look for words like “grow,” “increase,” etc…. A = final amount C = original amount r = rate of growth
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Day 2 Graph 1. 2. 3.
8.8 Exponential Growth & Decay • I can recognize, set up, and solve exponential growth and decay problems.
Exponential Growth Growth: Look for words like “grow,” “increase,” etc… A = final amount C = original amount r = rate of growth t = time in years
Exponential Decay Decay: Look for words like “depreciation,” “loses,” “decline,” etc… A = final amount C = original amount r = rate of growth t = time in years
Exponential GrowthExponential Decay Ex. 1A home bought in Frankfort increases in value at 8.5% per year. If the home is worth $125,000 today, how much will the house be worth in 5 years? A = C = r = t = ??? 125,000 .085 5
Exponential GrowthExponential Decay Ex. 2Michael Jordan’s autographed basketball cost $20,000.00 on E-Bay. If the basketball increases value at 4% per year, how much will it be worth in 8 years? A = C = r = t = ??? 20,000 .04 8
Exponential GrowthExponential Decay Ex. 3An iPod has a depreciation rate of 2% per year. If the original price was $400.00, what is the value of the iPod 2 years later? A = C = r = t = ??? 400 .02 2
Exponential GrowthExponential Decay Ex. 4A boat is purchased for $75,000. If it depreciates at a rate of 8% per year, how much will it be worth after 7 years? A = C = r = t = ??? 75000 .08 7