Let's go through the problem step by step to find the correct expression.
1. Understanding the given amounts:
- Alexi’s bill amount is \[tex]$58.
- He wants to leave a 20 percent tip.
2. Convert the percentage tip to a decimal:
- A 20 percent tip can be converted to a decimal by dividing by 100: \(20\% = \frac{20}{100} = 0.20 \).
3. Calculate the tip amount:
- The tip amount can be found by multiplying the bill amount by the decimal tip percentage:
\[
\text{Tip amount} = \$[/tex]58 \times 0.20
\]
- From our result, we know that this calculation gives us approximately \[tex]$11.60.
4. Calculate the total amount to be paid:
- The total amount to pay is the sum of the original bill amount and the tip amount:
\[
\text{Total amount} = \$[/tex]58 + \text{Tip amount}
\]
- Using our calculated tip amount of \[tex]$11.60, this total would be:
\[
\text{Total amount} = \$[/tex]58 + 11.60 = \[tex]$69.60
\]
5. Identify the expression from the given choices:
- The choice "\$[/tex]58(0.20) + \[tex]$58" correctly represents the steps we have taken: it calculates the tip amount ( \$[/tex]58 \times 0.20) and then adds it to the bill amount ( \[tex]$58).
Therefore, the correct expression Alexi needs to determine the total amount to pay is:
\[
\$[/tex] 58(0.20) + \$ 58
\]
