Carlos was tracking the increasing number of people walking down the street. at 6 am, there were 57 people. at 8 am, there were 65 people. if carlos made the function f(x) =4x + 33 , what would the 33 represent?

The equation f(x) = 4x + 33 is a linear equation in slope-intercept form.
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.
The y-intercept, in this case, the 33, is the value of y when x = 0.
The x (input) is the number of hours past midnight, and y is the # of people.
So when x = 0, this is essentially how many people there are at midnight.
Then, for each hour past that, we add 4 more.