Let's solve the problem step-by-step to find Juan's total profit.
1. Initial Profit on the First Day:
Juan makes a profit of [tex]$12 on the first day. So we start with this initial profit:
\[
\text{Profit on Day 1} = \$[/tex]12
\]
2. Money Spent over the Next Three Days:
According to the table, Juan spent the following amounts over the next three days:
- Day 2: \[tex]$7
- Day 3: \$[/tex]12
- Day 4: \[tex]$9
To find the total amount spent over these three days, we add these amounts together:
\[
\text{Total Spent} = 7 + 12 + 9 = \$[/tex]28
\]
3. Money Earned over the Next Three Days:
According to the table, Juan earned the following amounts over the next three days:
- Day 2: \[tex]$16
- Day 3: \$[/tex]22
- Day 4: \[tex]$18
To find the total amount earned over these three days, we add these amounts together:
\[
\text{Total Earned} = 16 + 22 + 18 = \$[/tex]56
\]
4. Profit from the Next Three Days:
To find the profit from days 2, 3, and 4, we subtract the total amount spent from the total amount earned:
[tex]\[
\text{Profit from Days 2 to 4} = \text{Total Earned} - \text{Total Spent} = 56 - 28 = \$28
\][/tex]
5. Total Profit Including the First Day:
To find Juan's total profit over all four days, we add the initial profit from the first day to the profit from the next three days:
[tex]\[
\text{Total Profit} = \text{Profit on Day 1} + \text{Profit from Days 2 to 4} = 12 + 28 = \$40
\][/tex]
### Summary
- Expression to find total profit: [tex]$\$[/tex]12 + (\[tex]$56 - \$[/tex]28)[tex]$
- Total Profit: $[/tex]\[tex]$40$[/tex]
So, Juan's total profit over the four days is [tex]\(\$40\)[/tex].
