A small start-up consulting company hopes to have 6 times the clientele it had the previous year for the next 5 years. If the company just meets its targets each of the 5 years and it had 6 clients to begin with, how many
Clients does it have at the end of 5 years?
A) 9329 clients
B) 4241 clients
C) 9330 clients
D) 15,550 clients

Question

Quizplus · Accepted Answer

The company aims to have 6 times the clientele each year for 5 years. Starting with 6 clients, the calculation is $6 \times 6^5 = 6 \times 7776 = 46656$. However, the correct calculation should be based on exponential growth, which is $6 \times 6^4$, because the initial 6 clients are not to be multiplied by 6 again at the end of the first year. The correct calculation is $6 \times 6^4 = 6 \times 1296 = 7776$. It seems there was a mistake in my initial calculation and explanation. The correct approach to find the number of clients after 5 years, starting with 6 clients and increasing sixfold each year, is indeed $6 \times 6^4$, but the correct answer should reflect this exponential growth accurately. Given the options provided, none directly match the correct outcome of the exponential growth calculation, suggesting a need to re-evaluate the calculation or the answer choices provided.

A Small Start-Up Consulting Company Hopes to Have 6 Times