Experiment Problem... please help.

Feb 2013
7
0
Canada
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.

TossNumber of headsCoins
04
126
239
3514
4721
51031

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!
 

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
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)?
 
Feb 2013
7
0
Canada
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.
 
Apr 2013
1
0
Canada
I am doing the same question. Did you figure out what part D was? I'm stuck on it!!