Question

it costs the school band $s$ dollars per sandwich that they make. the band sells each sandwich for 20% more than it costs to make so they earn a profit.
the expression $73(s + 0.2s)$ describes how much money the school band received selling sandwiches at their last fundraiser.
match each amount in the situation with the expression that represents it.

situation	expression
the cost to make one sandwich	$s + 0.2s$
the profit the band earns from one sandwich	$73$
the amount of money that the band receives for selling one sandwich	$s$

Explanation:

Step1: Analyze each situation

• The number of sandwiches sold: The expression \(73\) represents the number of sandwiches (since \(73(S + 0.2S)\) is total money, so \(73\) is the count).
• Cost to make one sandwich: Given as \(S\) dollars per sandwich, so this matches \(S\).
• Profit from one sandwich: Profit is 20% of cost, so \(0.2S\) (since cost is \(S\), 20% of \(S\) is \(0.2S\)).
• Money from selling one sandwich: Selling price is cost + profit, so \(S + 0.2S\) (cost \(S\) plus profit \(0.2S\)).

Step2: Match each situation

• The number of sandwiches the band sold: \(73\)
• The cost to make one sandwich: \(S\)
• The profit the band earns from one sandwich: \(0.2S\)
• The amount of money that the band receives for selling one sandwich: \(S + 0.2S\)

Answer:

• The number of sandwiches the band sold: \(73\)
• The cost to make one sandwich: \(S\)
• The profit the band earns from one sandwich: \(0.2S\)
• The amount of money that the band receives for selling one sandwich: \(S + 0.2S\)