Questions: (Dollars) (Bowls) (Slices) 40.00 0 5 40.00 4 5 40.00 8 0 Use the black line (plus symbols) to plot the line illustrating the combinations of salad and pizza that Hubert can purchase with a budget of 40.00.

(Dollars) (Bowls) (Slices)
40.00 0 5
40.00 4 5
40.00 8 0

Use the black line (plus symbols) to plot the line illustrating the combinations of salad and pizza that Hubert can purchase with a budget of 40.00.

Transcript text: \begin{tabular}{ccc} (Dollars) & (Bowls) & (Slices) \\ \hline 40.00 & 0 & 5 \\ 40.00 & 4 & 5 \\ 40.00 & 8 & 0 \end{tabular} Use the black line (plus symbols) to plot the line illustrating the combinations of salad and pizza that Hubert can purchase with a budget of $\$ 40.00$.

Solution

Solution Steps

Step 1: Identify the Cost of Each Item

From the given data:

$40.00 can buy 0 bowls of salad and 5 slices of pizza.
$40.00 can buy 4 bowls of salad and 2 slices of pizza.
$40.00 can buy 8 bowls of salad and 0 slices of pizza.

Step 2: Set Up Equations

Let the cost of one bowl of salad be \( S \) and the cost of one slice of pizza be \( P \).

From the data:

\( 0S + 5P = 40 \) ⟹ \( 5P = 40 \) ⟹ \( P = 8 \)
\( 4S + 2P = 40 \)
\( 8S + 0P = 40 \) ⟹ \( 8S = 40 \) ⟹ \( S = 5 \)

Step 3: Verify the Cost

Using the second equation to verify: \[ 4S + 2P = 40 \] \[ 4(5) + 2(8) = 40 \] \[ 20 + 16 = 40 \] \[ 40 = 40 \]

Final Answer

The cost of one bowl of salad \( S \) is $5.
The cost of one slice of pizza \( P \) is $8.

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