$$ \leftarrow $$ Mathspace-IM1B-LL-Task 6 6. The number of jiu-jitsu instructors worldwide was approximately 4320 in 1976 and has been increasing at a rate of $$ 3.8 \% $$ per year since. 6a Write a function, $$ y $$, to represent the number of jiu-jitsu instructors $$ t $$ years after 1976 .

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Let the number of instructors $$ y $$ years after 1976 be represented by the exponential growth formula:

$$
y(t) = y_0 (1 + r)^t,
$$

where
- $$ y_0 $$ is the initial number of instructors,
- $$ r $$ is the growth rate (as a decimal),
- $$ t $$ is the number of years after 1976.

Given that $$ y_0 = 4320 $$ and $$ r = 0.038 $$, the function becomes:

$$
y(t) = 4320 (1.038)^t.
$$
The number of jiu-jitsu instructors $$ t $$ years after 1976 can be represented by the function: $$ y(t) = 4320 \times (1.038)^t. $$

Mathspace-IM1B-LL-Task 6
6. The number of jiu-jitsu instructors worldwide was approximately 4320 in 1976 and has been
increasing at a rate of per year since.
6a Write a function, , to represent the number of jiu-jitsu instructors years after 1976 .

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Mathspace-IM1B-LL-Task 6 6. The number of jiu-jitsu instructors worldwide was approximately 4320 in 1976 and has been increasing at a rate of per year since. 6a Write a function, , to represent the number of jiu-jitsu instructors years after 1976 .