Question

Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.

Answer 1

Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.


then we can write the following piecewise function to describe the situation:


f is a function from (0, 4] to {$7, $14, $21, $28}

$f(x)=\begin{cases} \ 7 & if \enspace \enspace x\leq 1 \\ \ 14 & if \enspace \enspace 1\ \textless \ x\leq 2 \\ \ 21 & if \enspace\enspace 2\ \textless \ x\leq 3 \\ \ 28 & if \enspace\enspace 3\ \textless \ x\leq 4 \ \end{cases}$