To determine the total amount that Jonathan and Trina earned this week, we need to account for the hourly wages and the bonus.
1. Jonathan's Earnings:
- Jonathan earns \[tex]$12 per hour.
- If Jonathan worked $[/tex]J[tex]$ hours this week, then his total earnings are calculated as:
\[
12 \times J
\]
2. Trina's Earnings:
- Trina also earns \$[/tex]12 per hour.
- If Trina worked [tex]$T$[/tex] hours this week, then her earnings from work (before the bonus) are:
[tex]\[
12 \times T
\][/tex]
- Trina received a \[tex]$15 bonus for being on time every day.
Hence, her total earnings including the bonus are:
\[
12 \times T + 15
\]
3. Combined Earnings:
- To find the total amount both of them earned, we need to add Jonathan's earnings and Trina's earnings:
\[
12 \times J + (12 \times T + 15)
\]
- Simplifying the expression, we combine the terms involving $[/tex]J[tex]$ and $[/tex]T[tex]$:
\[
12J + 12T + 15
\]
- We can further group the terms involving $[/tex]J[tex]$ and $[/tex]T$ together:
[tex]\[
12(J + T) + 15
\][/tex]
Thus, the expression that represents the total amount that Jonathan and Trina earned this week is:
[tex]\[
\boxed{12(J+T)+15}
\][/tex]
