Question

A water bottle holds 56oz. Each time Anna takes a sip she drinks 8oz.

a) Write a function to represent the scenario

b) How many sips can Anna take before she needs to refill?

c) Create a graph to represent this situation.

d) What is the domain in set notation of the function?

Answer 1

Explanation:

a) The function to represent the scenario is f(x) = 56 - 8x, where x is the number of sips Anna takes.

b) Anna can take 7 sips before she needs to refill.

c)

The graph of the function is given below:

\begin{center}

\begin{tikzpicture}

\begin{axis}[

axis lines = left,

xlabel = $x$,

ylabel = {$f(x)$},

ymin = 0,

ymax = 56,

xtick = {0,1,2,3,4,5,6,7},

ytick = {0,8,16,24,32,40,48,56}

]

\addplot[

domain=0:7,

samples=2,

color=black,

]

{56 - 8*x};

\end{axis}

\end{tikzpicture}

\end{center}

d) The domain of the function in set notation is {0,1,2,3,4,5,6,7}.