To find the correct equation that represents Sammy's situation, let's analyze each option step-by-step and see which one makes sense based on the given scenario.
### Option 1: [tex]\(c - 25 = 100\)[/tex]
This equation implies that Sammy started with an amount [tex]\(c\)[/tex] in her account, and after she withdrew [tex]$25, she was left with $[/tex]100.
To check if this equation is correct, solve for [tex]\(c\)[/tex]:
[tex]\[ c - 25 = 100 \][/tex]
Add 25 to both sides to isolate [tex]\(c\)[/tex]:
[tex]\[ c = 100 + 25 \][/tex]
[tex]\[ c = 125 \][/tex]
So, according to this equation, Sammy had [tex]$125 in her account before withdrawing $[/tex]25 and being left with [tex]$100. This seems reasonable.
### Option 2: \(c + 25 = 100\)
This equation suggests that Sammy started with an amount \(c\) in her account, and after adding $[/tex]25, she was left with [tex]$100.
To check if this equation is correct, solve for \(c\):
\[ c + 25 = 100 \]
Subtract 25 from both sides to isolate \(c\):
\[ c = 100 - 25 \]
\[ c = 75 \]
So, according to this equation, Sammy had $[/tex]75 in her account before adding [tex]$25 and being left with $[/tex]100. This does not fit the scenario described, as Sammy did not add money but withdrew it.
### Option 3: [tex]\(25 \times c = 100\)[/tex]
This equation implies that Sammy had an amount [tex]\(c\)[/tex], and after multiplying it by 25, she was left with [tex]$100.
To check if this equation is correct, solve for \(c\):
\[ 25 \times c = 100 \]
Divide both sides by 25 to isolate \(c\):
\[ c = \frac{100}{25} \]
\[ c = 4 \]
This would mean Sammy had $[/tex]4 initially, and multiplying it by 25 resulted in [tex]$100. This scenario does not make sense given the context of taking out money.
### Conclusion
The correct equation to represent Sammy's situation is:
\[ c - 25 = 100 \]
This means Sammy initially had $[/tex]125 in her account, and after withdrawing [tex]$25, she was left with $[/tex]100.
