Question

Corinne formulated tables to represent two companies’ growth, where x represents the age of the companies in years and y represents growth in terms of number of employees.

Company 1 :
X : 0,1,2,3,4
Y : 0,6,12,18,24
Company 2 :
X : 0,1,2,3,4
Y : 1,6,36,216,1296
Assume the number of employees is an indicator of a successful company. In which company should Corinne invest?

A.) company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
B.) company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C.) company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
D.) company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year

Answer 1

d

Explanation:

Answer 2

D.) company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year

Explanation:

According to the company 1, it can be seen that the growth of the company's employees increases arithmetically yearly by 6employees (i.e by addition of 6employees to the total number of employee in the previous year) When there is an arithmetic increase, it means that the company employees is increasing at a slow rate but with the same amount each year. This is the case as of company A.

According to company 2, it is seen that the company employees increases GEOMETRICALLY yearly by a factor of 6. When there is a geometric increase, it means that the company employees is increasing at a very fast rate and with the different amount each year. The amount of employee keep increasing yearly by multiplying 6 to the total number of employee in the previous year.

Based on the conclusion above, it can be inferred that Corrine should invest in company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year