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# Next, the sisters consider the exponential rate and create a similar chart. Please Check and Solve!

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Next, the sisters consider the exponential rate and create a similar chart.

Exponential Rate

\$2000,                 _________________,               __________________,                ___________________,             \$10,125

January                         February                                         March                                          April                                  May

2.) Complete the sequence of earnings above given that it grows at an exponential rate. Explain how you know your sequence is exponential.

(This problem is the continuum from here: https://web2.0calc.com/questions/sisters-courtney-and-nina-have-started-an-internet-business)

Apr 14, 2019

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Let the first term =  2000

Let the fifth term = 10125

The exponetial form is

A = A0 b^(t)        where  A0  is the first term, t is the month [ Jan = 0 ]  and A is the amount in the "t" month

So.....we want to solve this  for b

10125 = 2000b^(4)

10125 = 2000b^4     divide both sides by 2000

10125 /2000 = b^4      take the 4th root of both sides

1.5  = b = growth factor

Jan  = 2000

Feb  = 2000(1.5) = 3500

Mar = 2000(1.5)^2 = 4500

Apr = 2000(1.5)^3 = 6750

May = 2000(1.5)^4  = 10125

We know that it  is exponential because we have a growth factor being raised to a power  and because the growth is not linear

Apr 15, 2019
edited by CPhill  Apr 15, 2019