Answer :
To determine the total amount Alexi needs to pay, we first need to calculate the 20 percent tip on his bill amount of [tex]$58.
1. Calculate the tip amount:
- The tip percentage is 20%, which can be written as a decimal: 0.20.
- To find the tip amount, multiply the bill amount by the tip percentage:
\[
\text{Tip amount} = 58 \times 0.20
\]
- Performing this calculation gives us:
\[
\text{Tip amount} = 11.60
\]
2. Calculate the total amount to be paid:
- The total amount Alexi needs to pay is the sum of the original bill and the tip amount:
\[
\text{Total amount} = 58 + 11.60
\]
- Adding these together results in:
\[
\text{Total amount} = 69.60
\]
3. Determine the correct expression:
- The expression that correctly calculates this total by breaking down the steps is:
\[
\text{Total amount} = 58(0.20) + 58
\]
- This expression first calculates the tip ($[/tex]58 \times 0.20[tex]$) and then adds the bill amount ($[/tex]58).
Therefore, the correct expression representing the total amount Alexi needs to pay is:
[tex]\[ \$ 58(0.20) + \$ 58 \][/tex]
Therefore, the correct expression representing the total amount Alexi needs to pay is:
[tex]\[ \$ 58(0.20) + \$ 58 \][/tex]