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?

Question

George Monroe

Mathematics

22 August, 06:34

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?

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Simone Smith · Answer 1

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.