Question

the expression $8 + 0.25c$ describes how much money lei earned for the fundraiser. we can also use the expression $0.25(32 + c)$ to represent the same quantity.
match each amount in the situation with the expression that represents it.

situation	expression
amount of money earned per carnation	$0.25c$
amount of money earned for carnations lei presold	$32 + c$
amount of money earned for carnations lei sold on the day of the fundraiser	$8$

Explanation:

Step1: Analyze "Total number of carnations Lei sold"

The total number of carnations should be the sum of presold and day - of - fundraiser sold. From the expression \(0.25(32 + c)\), if we consider the fact that \(8=0.25\times32\) (since \(0.25\times32 = 8\)) and \(0.25c\) is the money from day - of - sales, then the total number of carnations is \(32 + c\) (because \(8 = 0.25\times32\) implies 32 is the number of presold carnations and \(c\) is the number of day - of - sales carnations).

Step2: Analyze "Amount of money earned per carnation"

The coefficient of \(c\) in the expressions \(8 + 0.25c\) and \(0.25(32 + c)\) is \(0.25\). This represents the rate of money earned per carnation, so the amount of money earned per carnation is \(0.25\).

Step3: Analyze "Amount of money earned for carnations Lei presold"

We know that \(8=0.25\times32\), and from the expression \(0.25(32 + c)\), the part related to presold carnations is \(0.25\times32 = 8\)? Wait, no. Wait, if \(c\) is the number of carnations sold on the day, and the total money is \(8 + 0.25c\) (where 8 is from presold and \(0.25c\) is from day - of - sales). Wait, actually, from the fact that \(0.25(32 + c)=0.25\times32+0.25c = 8 + 0.25c\). So the amount of money earned for presold carnations: if we consider that \(8 = 0.25\times32\), but the expression for the money from presold? Wait, no. Wait, the expression \(0.25c\): if \(c\) is the number of carnations sold on the day, then \(0.25c\) is the money from day - of - sales. Wait, I made a mistake earlier. Let's re - do:

The expression \(8+0.25c\): 8 is a constant, so it's the money from presold (because it doesn't depend on \(c\), where \(c\) is the number of carnations sold on the day). \(0.25c\) is the money from day - of - sales (since it depends on \(c\), the number sold on the day, and \(0.25\) is per carnation). The total number of carnations is \(32 + c\) (because \(8 = 0.25\times32\), so 32 is the number of presold carnations, \(c\) is day - of - sales, so total is \(32 + c\)). The amount per carnation is \(0.25\).

So:

• Total number of carnations Lei sold: \(32 + c\) (because 32 is presold number, \(c\) is day - of - sales number, total is \(32 + c\))
• Amount of money earned per carnation: \(0.25\) (the rate per carnation)
• Amount of money earned for carnations Lei presold: \(8\) (the constant term in \(8 + 0.25c\), since it's not dependent on \(c\), so it's from presold)
• Amount of money earned for carnations Lei sold on the day of the fundraiser: \(0.25c\) (depends on \(c\), the number sold on the day, with rate \(0.25\) per carnation)

Wait, I had a mix - up earlier. Let's correct:

1. Total number of carnations Lei sold: The total number is the sum of presold and day - of - sales. From \(0.25(32 + c)\), since \(8 = 0.25\times32\) (so 32 is presold number, \(c\) is day - of - sales number), total number is \(32 + c\).

1. Amount of money earned per carnation: The coefficient of \(c\) in both expressions is \(0.25\), so per carnation money is \(0.25\).

1. Amount of money earned for carnations Lei presold: Since \(8=0.25\times32\), and 32 is the number of presold carnations, the money from presold is \(8\).

1. Amount of money earned for carnations Lei sold on the day of the fundraiser: Since it depends on the number of carnations sold on the day (\(c\)) and the rate is \(0.25\) per carnation, it's \(0.25c\).

Answer:

• Total number of carnations Lei sold: \(32 + c\)
• Amount of money earned per carnation: \(0.25\)
• Amount of money earned for carnations Lei presold: \(8\)
• Amount of money earned for carnations Lei sold on the day of the fundraiser: \(0.25c\)