Question

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

Explanation:

Step1: Identify growth type

This is exponential growth, where the initial amount is multiplied by a growth factor each year.

Step2: Define initial value and factor

Initial members $m_0 = 10$, growth factor $r = 1.2$, time $t$ (years).

Step3: Build exponential function

Exponential growth formula: $m(t) = m_0 \times r^t$
Substitute values: $m(t) = 10 \times 1.2^t$

Answer:

$m(t)=10(1.2)^t$