Question

A marathon runner will donate $5000 to charity if her time is less than or equal to 3 hours. She will donate $2000 if her time is more than 3 hours but less than or equal to 4 hours. Finally, she will donate $1000 to charity if her time is more than 4 hours.

a.)Write a piecewise function describing this situation.

Answer 1

t = time, thus

$\bf f(x)= \begin{cases} 5000&t\le 3\\ 2000&3\ \textless \ t\le4\\ 1000&t\ \textgreater \ 4 \end{cases}$