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Quiz Bee Question Paper

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1. Three of your friends, Anna, Blake, and Christine, run to you to settle a dispute. They were simplifying a radical expression into an exponential expression, but they reached different answers. Wisely, you decide to look at their work to see if you can spot the source of confusion.
Anna

22x
4x
Blake (26 - 3)x
(23)x
23x
8x
Christine

29x
18x
Explain to Anna, Blake, and Christine who is correct, and identify any errors that you find. Provide the correct manner to fix those problems, and identify the correct answer. Use complete sentences. Anna’s work is correct. Blake made the mistake of subtracting 3, instead of multiplying 6 and X. Christine multiplied with 3; where as you are supposed to multiply with 1/3.

2. Create an exponential growth function, f(x), to model a population of frogs that is growing every year. Identify the principal amount, the growth rate, and the appropriate domain and range for your function. Explain how these key features would affect the graph of f(x). …show more content…

If B is greater than one, it would be exponential. If one is larger than B, it would bw exponential decay.
X being the amount of years, which could be anything.
Domain x > - 0 or [0, infinity].
Range: [>0]
3. Using your function f(x) from question 2, demonstrate and explain how to find the average rate of change between year 3 and 5, and between year 5 and 7. Explain what the average rate of change represents to the frog population.
Year Population
3 159.181
4 162.365
5 165.612
To get the average rate of change, we get the three years’ worth of population, and subtract them

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