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anonymous

  • one year ago

These lessons are a total blur will some one help

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  1. anonymous
    • one year ago
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    Iris has been studying an invasive population of snails. This particular snail has no local predators, so the population grows wildly. She has observed that the population follows an exponential rate of growth for fifteen years. Create your own exponential function, f(x), which models the snail population. You will need to identify the principal population of the snails and the rate of growth each year. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences. 2) A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then, explain to Iris how the key features of this local snail population compares to the key features of the invasive population. 3) Iris wants to graph the invasive snail population to show the city council. Justify what the appropriate domain and range would be for the function f(x), what the y-intercept would be, and if the function is increasing or decreasing. 4) In five years, a garden festival plans on using the park where Iris has been studying the invasive snails. Explain to the garden festival committee how to find the average rate of change for the snail population between years 2 and 5. Describe what this average rate of change represents. ____________________________________________________________________________ Gordon is evaluating some stocks he wants to purchase. You can see the function of the stock price below. The variable x represents days. Stock A B C Price f(x) = 25(1.08)x x f(x) 0 22.00 1 21.56 2 21.13 The initial price of this stock is $30, but it has been increasing 4% each day. Create the price function for Stock D. It should have the second lowest starting price and the second highest rate of growth. Using complete sentences, justify that your function meets these requirements. Graph the price function for Stock D. Explain the key features of the graph with complete sentences. A recent drop in sales has affected Stock D with the function g(x) = –6. Explain to Gordon how Stock D’s new price function, f(x) + g(x), will be created. Graph f(x) + g(x). Gordon wants to fully understand what kind of changes could affect the money he is investing. Using complete sentences, explain the effect of the following transformations. Graph them and f(x) on the same coordinate plane. f(x + 2) f(–x) f(x) + 3

  2. anonymous
    • one year ago
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    @danish071996

  3. anonymous
    • one year ago
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    @Michele_Laino

  4. Michele_Laino
    • one year ago
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    question #1 a possible exponential function, can be this: \[\Large f\left( x \right) = k \times {B^x}\] where k and B are two constants

  5. Michele_Laino
    • one year ago
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    and x can be the number of years

  6. Michele_Laino
    • one year ago
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    question #2 we have the subsequent steps: \[\Large {1.3^{2x}} = {\left( {{{1.3}^2}} \right)^x} = {1.69^x}\] so we can write: \[\Large g\left( x \right) = 200 \times {1.69^x}\]

  7. Michele_Laino
    • one year ago
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    question #3 referring to f(x), we have: x is the number of years, so if we set x=0, we get: f(x)=k, and k is the number of snails at the starting year of observation

  8. Michele_Laino
    • one year ago
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    @Jasmiinnee_m what do you think?

  9. anonymous
    • one year ago
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    So far so good.

  10. anonymous
    • one year ago
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    @Michele_Laino

  11. anonymous
    • one year ago
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    but most of these questions want more then just an expresion

  12. Michele_Laino
    • one year ago
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    question #4 here we have to use the function g(x), so the requested average rate r of change, is given by the subsequent formula: \[\Large r = \frac{{g\left( 5 \right) - g\left( 2 \right)}}{{5 - 2}} = ...\] please substitute the formula for g(x), namely: \[\Large g\left( x \right) = 200 \times {1.69^x}\] and simplify that average rate r

  13. Michele_Laino
    • one year ago
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    what do you get? @Jasmiinnee_m

  14. anonymous
    • one year ago
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    Honestly I have no Idea how to solve that....

  15. Michele_Laino
    • one year ago
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    hint: \[\Large \begin{gathered} r = \frac{{g\left( 5 \right) - g\left( 2 \right)}}{{5 - 2}} = \frac{{200 \times {{1.69}^5} - 200 \times {{1.69}^3}}}{3} = \hfill \\ \hfill \\ = \frac{{200 \times {{1.69}^3}\left( {{{1.69}^2} - 1} \right)}}{3} = ... \hfill \\ \end{gathered} \]

  16. Michele_Laino
    • one year ago
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    \[\large \begin{gathered} r = \frac{{g\left( 5 \right) - g\left( 2 \right)}}{{5 - 2}} = \frac{{200 \times {{1.69}^5} - 200 \times {{1.69}^3}}}{3} = \hfill \\ \hfill \\ = \frac{{200 \times {{1.69}^3}\left( {{{1.69}^2} - 1} \right)}}{3} = ... \hfill \\ \end{gathered} \] please continue

  17. anonymous
    • one year ago
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    666?

  18. Michele_Laino
    • one year ago
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    I got: r=597.3

  19. anonymous
    • one year ago
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    oh

  20. anonymous
    • one year ago
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    Thank you but what about the other ones

  21. Michele_Laino
    • one year ago
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    hint: the price at day x=0, is $30 at day x=1, price is 30(1+0.04) at day x=2 the price is 30(1+0.04)^2 so what can you conclude?

  22. Michele_Laino
    • one year ago
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    @Jasmiinnee_m

  23. anonymous
    • one year ago
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    which question is this for?

  24. anonymous
    • one year ago
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    @Michele_Laino

  25. Michele_Laino
    • one year ago
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    it is the question bout the stock price functions

  26. anonymous
    • one year ago
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    oh um

  27. anonymous
    • one year ago
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    I mostly dont understand how to write it all now

  28. anonymous
    • one year ago
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    @Michele_Laino

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