Answer :
Sure, I'd be happy to help you understand the problem and how to arrive at the solution!
The problem states that the cost of dinner is [tex]$x$[/tex] dollars and it is shared equally by 4 friends. Each person paid \[tex]$6.25. We are asked to find the correct algebraic equation that models this situation.
Let's break it down step-by-step:
1. Identify the variables and constants:
- Let \( x \) be the total cost of the dinner in dollars.
- There are 4 friends sharing the cost.
- Each friend pays \$[/tex]6.25.
2. Understand the relationship:
- Since the total cost [tex]\( x \)[/tex] is shared equally among 4 friends, we divide [tex]\( x \)[/tex] by 4 to find out how much each person pays.
- The amount each person pays is given as \[tex]$6.25.
3. Set up the equation:
- The equation that represents this situation is:
\[
\frac{x}{4} = 6.25
\]
- This equation says that if you take the total cost \( x \) and divide it by 4, each friend's share is \$[/tex]6.25.
This matches one of the options provided in the problem:
[tex]\[
\frac{x}{4} = 6.25
\][/tex]
Therefore, the correct algebraic equation that models the situation is:
[tex]\[
\frac{x}{4} = 6.25
\][/tex]
The problem states that the cost of dinner is [tex]$x$[/tex] dollars and it is shared equally by 4 friends. Each person paid \[tex]$6.25. We are asked to find the correct algebraic equation that models this situation.
Let's break it down step-by-step:
1. Identify the variables and constants:
- Let \( x \) be the total cost of the dinner in dollars.
- There are 4 friends sharing the cost.
- Each friend pays \$[/tex]6.25.
2. Understand the relationship:
- Since the total cost [tex]\( x \)[/tex] is shared equally among 4 friends, we divide [tex]\( x \)[/tex] by 4 to find out how much each person pays.
- The amount each person pays is given as \[tex]$6.25.
3. Set up the equation:
- The equation that represents this situation is:
\[
\frac{x}{4} = 6.25
\]
- This equation says that if you take the total cost \( x \) and divide it by 4, each friend's share is \$[/tex]6.25.
This matches one of the options provided in the problem:
[tex]\[
\frac{x}{4} = 6.25
\][/tex]
Therefore, the correct algebraic equation that models the situation is:
[tex]\[
\frac{x}{4} = 6.25
\][/tex]
