To determine which equation models Elvis' total pay [tex]\( y \)[/tex] in dollars based on the number of hours [tex]\( x \)[/tex] that he has worked, we need to consider both his hourly wage and his signing bonus.
1. Hourly Wage Calculation:
- Elvis earns [tex]\(\$ 19\)[/tex] per hour.
- Therefore, if he works [tex]\( x \)[/tex] hours, his earnings from the hours worked alone would be [tex]\( 19x \)[/tex].
2. Signing Bonus:
- Elvis also received a one-time signing bonus of [tex]\(\$ 900\)[/tex].
- This signing bonus is added to his earnings from the hours worked.
3. Total Pay:
- The total pay [tex]\( y \)[/tex] is the sum of his earnings from the hours worked and the signing bonus.
- Hence, the equation modeling the total pay is:
[tex]\[
y = 19x + 900
\][/tex]
Thus, the correct equation is:
D. [tex]\( y = 19x + 900 \)[/tex]
