An online grocery store charges for delivery based on the equation $C = 1.20 p$ , where $C$ represents the cost in dollars, and $p$ represents the weight of the groceries in pounds. Label the horizontal axis $p$ and the vertical axis $\mathrm { C }$ , and graph the equation $C = 1.20 p$ for nonnegative values of $p$ .

Question

Quizplus · Accepted Answer

To graph the equation $C=1.2p$, we can make a table of values with different values of $p$ and the corresponding values of $C$.

| p | C |
|---|---|
| 0 | 0 |
| 1 | 1.2 |
| 2 | 2.4 |
| 3 | 3.6 |
| 4 | 4.8 |

We can plot these points on a graph with p on the horizontal axis and C on the vertical axis.

\begin{center}
\begin{tikzpicture}[scale=1.5]
\draw[->] (-0.2,0) -- (4.2,0) node[right] {$p$};
\draw[->] (0,-0.2) -- (0,5) node[above] {$C$};
\foreach \x in {1,2,3,4} \draw (\x,0.1) -- (\x,-0.1) node[below] {\x};
\foreach \y in {1,2,3,4} \draw (0.1,\y) -- (-0.1,\y) node[left] {\y};
\draw[thick,domain=0:4] plot (\x,1.2*\x);
\end{tikzpicture}
\end{center}

The resulting graph is a straight line passing through the origin with a slope of 1.2. This means that the cost increases linearly with the weight of the groceries. The best choice is therefore (C).

An Online Grocery Store Charges for Delivery Based on the Equation