When it was first started, the clinton high cooking club had 10 members. each year after the club started, the number of members increased by a factor of approximately 1.21 write a function that gives the number m(t) of members in the cooking club t years after it started.

Step-by-step explanation:

The exponential growth function in time t is given by :-

, where a = Initial amount

b = Multiplicative factor.

Given : When it was first started, the Clinton High Cooking Club had 10 members.

The number of members increased by a factor of approximately 1.21 .

As per given , we have

A= 10

b=1.21

Then , the function that gives the number m(t) of members in the cooking club t years after it started will be :

 (Put values in the above function)

Growth in terms of factor shows the increment in "times". The function that gives the number m(t) of members in the cooking club t years after it started is

Since there were initially 10 members and members are increasing with 1.21 factor each year, so after t years, we will get

Thus,

The function that gives the number m(t) of members in the cooking club t years after it started is

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