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Mathematics
9th -
12thgrade
Algebra 2 REVIEW - Exponential Growth and Decay
22 questions
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- 1. Multiple ChoiceWhich of the following functions shows an initial amount of $15 and an increase of 35% each year?y = 15(35)xy = 15(1.35)xy = 15(0.35)xy = 35(1.15)x
- 2. Multiple ChoiceTwenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?$176,783.29$424,527.63$57,357.75$532,041,076.80
- 3. Multiple ChoiceIn an exponential function, what does the 'a' represent?SLOPERATE OF CHANGEY-INTERCEPTCOMMON RATIO
- 4. Multiple ChoiceWhat is a, the starting term, for the function: f(x) = 300(1.16)x?3001.16.16x
- 5. Multiple ChoiceWhat is b, the common ratio, for the function: f(x) = 300(1.16)x?3001.16.16x
- 6. Multiple ChoiceWhat is a, the starting term, for the function: f(x) = 800(0.85)x?8000.850.15x
- 7. Multiple ChoiceA population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?-5-.05.95.05
- 8. Multiple ChoiceThe value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?.081.08.928
- 9. Multiple ChoiceWhat type of function is y = 7(5/4)x?Exponential GrowthExponential DecayLinearNone of the above
- 10. Multiple ChoiceIs this exponential growth or decay?GrowthDecay
- 11. Multiple ChoiceJames' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.70(2)3570(2)52(70)55(70)2
- 12. Multiple ChoiceWrite an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.y=6(0.14)xy=6(1+14)xy=6(1.14)xy=6(0.86)x - 13. Multiple ChoiceSuppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.y=5000(0.7)xy=30(5000)xy=5000(1.3)xy=5000xx
- 14. Multiple ChoiceA population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?1432743098397680
- 15. Multiple ChoiceDaniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?$23,219.72$136.72$51,710.94$16,710.94
- 16. Multiple ChoiceClassify the model as Exponential GROWTH or DECAY.
A=10(1.01)3GrowthDecay - 17. Multiple ChoiceClassify the model as Exponential GROWTH or DECAY.
A=1200(.85)6GrowthDecay - 18. Multiple ChoiceIs the pictured graph growth, decay, or linear or none?Exponential GrowthExponential DecayLinearNone
- 19. Multiple ChoiceWhat values of b make an exponential growth function?b > 0b < 1b > 10 < b < 1
- 20. Multiple ChoiceWhat values of b make an exponential decay function?b > 0b < 1b > 10 < b < 1
- 21. Multiple ChoiceWhat is the equation for the table?y = 4(2)xy = 2(4)xy = 2(8)xy = -2(4)x
- 22. Multiple ChoiceJanice has $500 and plans to spend 5% per day on her shopping trips. How much will she have left after 12 days?$879.93$41.67$270.18$300
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