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For the function $q$, the value of $q\left(x\right)$ decreases by $45\%$ for every increase in the value of $x$ by $1$. If $q\left(0\right)=14$, which equation defines $q$?

Two variables, $x$ and $y$, are related such that for each increase of $1$ in the value of $x$, the value of $y$ increases by a factor of $4$. When $x=0$, $y=200$. Which equation represents this relationship?

$f\left(x\right)=\frac{a-19}{x}+5$

In the given function $f$, $a$ is a constant. The graph of function $f$ in the xy-plane, where $y=f\left(x\right)$, is translated $3$ units down and $4$ units to the right to produce the graph of $y=g\left(x\right)$. Which equation defines function $g$?

What is the minimum value of the function f defined by  ?

Let the function p be defined as , where c is a constant. If , what is the value of ?

The function f is defined above. What is the value of ?

There were no jackrabbits in Australia before 1788 when 24 jackrabbits were introduced. By 1920 the population of jackrabbits had reached 10 billion. If the population had grown exponentially, this would correspond to a 16.2% increase, on average, in the population each year. Which of the following functions best models the population of jackrabbits t years after 1788?