We are told that Carla earns $8 per hour. If "x" is the number of hours then the earnings for a given number of hours are:
[tex]8x[/tex]To this amount, we add the $38 she has saved:
[tex]38+8x[/tex]This is the amount she has per hour, now we need to determine when this amount will get to $80, therefore, we equate the earnings to 80:
[tex]38+8x=80[/tex]Now we solve for "x" first by subtracting 38 to both sides:
[tex]\begin{gathered} 8x=80-38 \\ 8x=42 \end{gathered}[/tex]Now we divide both sides by 8:
[tex]\begin{gathered} \frac{8x}{8}=\frac{42}{8} \\ x=5.3 \end{gathered}[/tex]Therefore, she needs to work 5.3 hours to get to $80.
