SOLUTION: Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies (1 day ago) a. Solve for the growth rate b. So

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Question 714025: Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies (1 day ago)
a. Solve for the growth rate
b. Solve for the initial population
c. Develop a mathematical model
d. Use the model to predict the population of flies by tomorrow.
Thank you. I wish you can answer it faster.. :)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
t=2 days, because the before and after values for population were measured for a two day time interval. A%5B0%5D=540 and A=720, number of flies. 720=540e%5E%28k%2A2%29, would be an expected equation but k needs to be calculated.


ln%28720%29%2Fln%28540%29=2k%2Aln%28e%29

%28ln%28720%29%2Fln%28540%29%29%2F2=k

k=0.523



Model equation should be used as highlight%28A=A%5B0%5De%5E%280.523t%29%29.

How many flies expected tomorrow? One day ago, there were 720 flies. Tomorrow, will be another t=2 change. Use A=720%2Ae%5E%280.523%2A2%29 flies, as a prediction.