Question

Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be the amount in dollars that Paolo spends on salad and pizza. If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation _____.Now rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by the equation _____.Suppose Paolo has $40.00 to spend on salad and pizza; that is E = $40.00Complete the following table with values of S or P that make the equation true.To complete the first row, determine the number of pizza slices Paolo can purchase with $40.00, when the number of salad bowls he purchases is 0.Budget (Dollars) Salad (Bowls) Pizza (Slice)40.00 0 _____40.00 4 _____40.00 _____ 0

Answer 1

Answer:

• E=5S+2P
• P=0.5(E-5S)

$\left|\begin{array}{c|c|c} Budget (Dollars)& Salad (Bowls) & Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

• E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

$P=\dfrac{E-5S}{2} \\P=0.5(E-5S)$

Therefore, The quantity of pizza he buys can be represented by the equation:

• P=0.5(E-5S)

When E=$40, we are required to complete the table below.

$\left|\begin{array}{c|c|c} Budget (Dollars)& Salad (Bowls) & Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|$

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

$\left|\begin{array}{c|c|c} Budget (Dollars)& Salad (Bowls) & Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$