+73 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)
+128470 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
