Creating Exponential Functions Author: RayMiller Andrew
Description: Please use the description to create the equation of the function that best matches.
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Content:
Definitions:
0. Bacteria doubles. You originally had 8 in the population
1. Decays at a rate of 12%25
2. Bacteria cultures starts with 12 and decays at a rate of 88%25
3. An old house costs you $88,000 and appreciates by 20%25 yearly
4. Has the point (0,88) and gains interest of 12%25
5. Has an initial value of 1.12
6. A motorcycle costs 8,000 dollars and it loses 8%25 yearly
7. A company requires $88 to invest and it grows by 2%25
8. You deposit 12 dollars in the bank and it accrues 2%25 interest
9. You invest in stock that loses 92%25 yearly. You started with 8,000
10. You bought a coin collection for $12 it grows at 88%25 yearly.
11. A car depreciates by 8%25 each year. You paid 12,000
12. A tourment starts with 12 players and loses 50%25 each round
13. You began with 88 people in your program and it grows 20%25 yearly
14. The business has 12 employees and doubles yearly
15. A population starts with 2 rodents and grows by 12%25 yearly
Answers:
0. f(x) = 8 (2)^x
1. f(x) = 2(0.88)^x
2. f(x) = 88 (1.2)^x
3. f(x) = 88(1.02)^x
4. f(x)= 12(1.02)^x
5. f(x) = 8(0.08)^x
6. f(x) = 2 (1.12)^x
7. f(x) = 1.12(2)^x
8. f(x) = 8 (0.92)^x
9. f(x) = 12(0.92)^x
10. f(x) = 88(1.2)^x
11. f(x) = 12 (1/2) ^x
12. f(x) = 12( 0.12)^x
13. f(x) = 88(1.12)^x
14. f(x) = 12 (2) ^x
15. f(x) = 12 (1.88)^x
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