Gertrude started an experiment with 15 gummy bears. After 6 days, there were 1,523 gummy bears. Write an exponential function th at could be used to model the number of gummy bears after x days if the number of gummy bears changes at the same rate. Round to the 4th decimal place (ten thousandth)
1 answer:
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Answer:
y = 15·2.1599^x
Step-by-step explanation:
We know that the number changed by the ratio 1523/15 = 101.5333... in 6 days, so the daily multiplier is the 6th root of this:
b = 101.5333...^(1/6) = 2.1599 . . . rounded to 4 dp
Of course, the coefficient 'a' in the equation is the initial number, 15.
Your exponential equation is ...
y = 15·2.1599^x
a = 15
b = 2.1599
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