Question

Gertrude started an experiment with 15 gummy bears. After 6 days, there were 1,523 gummy bears. Write an exponential function that 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)

y=a*b^x
a=
b=​

Answer 1

9514 1404 393

Answer:

y = 15·2.1599^x

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