Question

Nick recently started a landscaping company. He began with 3 clients. Thanks to word-of-mouth referrals, his clients double each month.
How many clients will Nick have after one year?

Answer 1

If Nick began with three clients, you would do basic math to get here.

January / 3
February / 3•2 = 6
March / 6•2 = 12
April / 12•2 = 24
May / 24•2 = 48
June / 48•2 = 96
July / 96•2 = 192
August / 192•2 = 384
September / 384•2 = 768
October / 768•2 = 1,536
November / 1,536•2 = 3,072
December / 3,072•2 = 6,144

Nick would start with 3 clients and end with 6,144 clients.

Answer 2

Answer:

12288

Step-by-step explanation:

In terms of exponential growth and decay, you would start by putting it into the formula, "f(x)=a⋅b^x". You'll put 3 as a and since it's increasing double (or 100%) each month, you'll put b as 2 since you need to add one unit. For ^x, you'll add 12 since there are 12 months in a year. Your completed formula would come out as 3(2)^12 which would come out to 12288.