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:

To this amount, we add the $38 she has saved:

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:

Now we solve for "x" first by subtracting 38 to both sides:

Now we divide both sides by 8:

Therefore, she needs to work 5.3 hours to get to $80.