After noon, the number of people in Mal-Wart grows steadily until $6\text{:}00$ p.m. If the equation $y = 228 + 58x$ represents the number of people in the store $x$ hours after noon:   

1. How many people were in the store at noon?

   Hint (a):

   Find the starting value in the equation.

2. At what rate is the number of shoppers growing?

   Hint (b):

   Find the growth rate in the equation.

3. When were there $402$ shoppers in the store?

   Hint (c):

   Set the equation equal to $402$ and solve for $x$.