Final answer:
Jaylen paid for 8 additional hours of driver's ed.
Step-by-step explanation:
In this problem, the private driver's ed instructor charges $100 for the first hour and $35 for every additional hour. Let's say Jaylen paid for x additional hours after the first hour. Therefore, the total cost can be represented by the equation:
Total cost = Cost of first hour + Cost of additional hours
Total cost = $100 + $35x
Given that Jaylen's driver's ed class cost him $380, we can set up the equation:
$380 = $100 + $35x
To solve for x, we subtract $100 from both sides:
$380 - $100 = $35x
$280 = $35x
Finally, we divide both sides by $35 to solve for x:
$280 / $35 = x
x = 8
Therefore, Jaylen paid for 8 additional hours of driver's ed.