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Math Help - Experiment Problem... please help.

  1. #1
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    Experiment Problem... please help.

    Another Experiment is performed using coins. This time, the experimenter starts with 4 coins. Each time she tosses the coins into the air, she counts the number of heads that appear; then adds that number of coins to the amount she previously had. The following table shows her results.

    Toss Number of heads Coins
    0 4
    1 2 6
    2 3 9
    3 5 14
    4 7 21
    5 10 31

    Part A: Graph the results. DONE

    Part B: Explain why the graph appeears exponential..
    Part C: State an exponential equation that best fits the results. (use n to represent the number of the toss.)
    Part D: State the equation that would predict the number of remaining coins if you began with N0 coins.
    Part E: Perform the experiment yourself. Graph your results with a different colour.
    Part F: The experimenter claims that the equation is explained by the formula for compound interest: A = P(1 + i)n. She argues that P represents the number of coins she started with, i is 0.5 since the growth rate is about 50% (since about one-half of the coins tossed come up heads) and N is the number of tosses, which is like the compounding period.

    If her hypothesis is correct, create a formula that predicts the total number of coins if an unfair (weighted) coin is used that only comes up heads 1 out of every 4 times.

    ​PLEASE HELP!!!!!! I HAVE NO IDEA WHAT I AM DOING! THANKS IN ADVANCED!
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  2. #2
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    Re: Experiment Problem... please help.

    Hey marrzbarrz.

    Hint: What can you say about the rate of change for each addition of coins? (Does each addition have a kind of doubling or other similar effect)?
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  3. #3
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    Re: Experiment Problem... please help.

    Quote Originally Posted by chiro View Post
    Hey marrzbarrz.

    Hint: What can you say about the rate of change for each addition of coins? (Does each addition have a kind of doubling or other similar effect)?
    I guess its doubling... I'm not sure.
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  4. #4
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    Re: Experiment Problem... please help.

    I am doing the same question. Did you figure out what part D was? I'm stuck on it!!
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