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- 1. Multiple ChoiceA population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?
y = 1500(0.985)t
y = 1500(0.015)ty = 1500(1.015)t
y = 1500(0.85)t
- 2. Multiple ChoiceThere were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?f(x) = 417(3.75)xf(x) = 417(0.0375)xf(x) = 417(1.0375)xf(x) = 417(1.375)x
- 3. Multiple Choice
g(x) = 10xf(x) = 0.1xg(x) = 10xg(x) = 10(2)x - 4. Multiple ChoiceThe graph represents an exponential growth situation.Eventually, the car will be worth exactly $0.The starting value of the car was $12,000.
The domain for the situation is y ≥ 0.
- 5. Multiple Choicex > 0y > 0
x is all real numbers
y is all real numbers
- 6. Multiple ChoiceAn antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?
f(x) = 12000(114.9)x
f(x) = 12000(85.1)x
f(x) = 12000(1.149)x
f(x) = 12000(0.851)x
- 7. Multiple ChoiceSome banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?A fee charged for an inactive accountThe percent of money in the account after x yearsThe amount of money in the account initiallyThe amount of money in the account after x years
- 8. Multiple Choicef(x) = 35(0.95)xf(x) = 36(0.05)xf(x) = 35(1.05)xf(x) = 36(1.5)x
- 9. Multiple ChoiceThis function is an example of exponential growth.This function has a y-intercept at (0, 200).The growth factor for this function is 4.The range for this function is y > 0.
- 10. Multiple ChoiceA child asks her dad for an allowance that starts with a penny and then doubles every day for a month. Which function can be used to model the amount of money, A, the child will receive each day, x?A(x) = 2(0.01)xA(x) = 0.01(2)x
A(x) = 0.01(0.99)x
A(x) = 2(1.01)x - 11. Multiple ChoiceFGHJ
- 12. Multiple ChoiceThe graph of this situation represents exponential decay.The range of this function is y > 0.There is a horizontal asymptote at y = 0 for this situation.The y-intercept is (0, 230).
- 13. Multiple Choice
y is all real numbers
y > 0x is all real numbers
x > 0 - 14. Multiple ChoiceThe number of players decreases by 30% each round.The range for the function is 1 < y < 5.
The asymptote for this situation is y = 0.
The situation represented is exponential decay. - 15. Multiple ChoiceFGHJ
- 16. Multiple ChoiceThe function to find the value of a car after t years is given by v(t) = 24,000(.75)t Which of the following statements is not true?The starting value of the car was $24,000.The y-values of the graph increase as the x-values increase.The value of b indicates this is an exponential decay situation.The horizontal asymptote is y = 0, which means the car will never have a value of $0.
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