Question

When it was first started, Clinton High Cooking Club had 10 members. Each year after the club started, the number of members increased by a factor of approximately 1.2. Write a function that gives the number m(t) of members in the cooking club t years after it started.

Answer 1

Answer: m(t)= 10(1.2)^t

Step-by-step explanation: I did it in khan.

Answer 2

a function that gives the number m(t) of members in the cooking club t years after it started is
`m(t)=10(1.2)^t` .

Explanation:

Here we have , When it was first started, Clinton High Cooking Club had 10 members. Each year after the club started, the number of members increased by a factor of approximately 1.2. We need to Write a function that gives the number m(t) of members in the cooking club t years after it started.Let's find out:

Initially Club have 10 members and every year number increases by factor of 1.2 , i.e.

Number of members after 1 year :

⇒
`10(1.2)`

Number of members after 2 year :

⇒
`10(1.2)^2`

Number of members after t years :

⇒
`10(1.2)^t`

Therefore , a function that gives the number m(t) of members in the cooking club t years after it started is
`m(t)=10(1.2)^t` .