Final answer:
The number of hours that will allow the total charges for the repair to be less than $300 is 2.5 hours.
Step-by-step explanation:
The equation given is t = 80h + 100, where t represents the total charges in dollars and h represents the number of hours. The question asks for the number of hours that will allow the total charges for the repair to be less than $300. To determine this, we can substitute t = 300 into the equation and solve for h:
300 = 80h + 100
Subtracting 100 from both sides of the equation:
200 = 80h
Dividing both sides of the equation by 80:
h = 2.5
Therefore, the number of hours that will allow the total charges for the repair to be less than $300 is 2.5 hours.