In this question we have three functions:

$f(t)$ is the number of UWC students in the MAM$115$ class in year $t.$

$g(t)$ is the number of MAM$115$ students who use ChatGPT to answer their assignments in year $t.$

$h(x)$ is the number of MAM$115$ students who pass MAM$115$ if there are $x$ students in the class.

$p(t)$ is the pass rate $($as a percentage$)$ for students who use ChatGPT to answer their assignments in year $t.$

Give combinations of the above functions that will calculate the given value in each of the questions below. $($For example $\frac{h(f(2024))}{f(2024)}$ is the pass rate for all MAM$115$ students in $2024.)$

$($a$)$ The proportion of the MAM$115$ class that does not use ChatGPT to answer their assignments in year $t.$

$($b$)$ The number of students who use ChatGPT to answer their assignments who also pass in year $t.$

$($c$)$ The pass rate $($as a percentage$)$ for MAM$115$ students who do not use ChatGPT to answer their assignments in year $t.$

$(7$ marks$)$