The given equation is:
y = 10x + 15
We need to find the number of hours Jack needs to work to earn $55, which means we need to solve for x when y = 55.
So, we substitute y = 55 into the equation and solve for x:
55 = 10x + 15
Subtracting 15 from both sides, we get:
40 = 10x
Dividing both sides by 10, we get:
x = 4
Therefore, Jack needs to work for 4 hours to earn $55.