Tell if the relationship of a riders height above the first floor and the time since the rider stepped on the elevator or escalator is proportional or non-proportional. Your height, h, in feet above the first floor on the escalator is given by h=0.8t, where t is the time in seconds. This equation has the form of y=mx+b where be (is or is not) equal to 0. Therefore it represents a proportional or non proportional relationship. Can someone please help me with this. I am truly lost on this one.
if h = 0.8 t
then h is proportional to t
Oh I see what you are saying Damon that would make sense so that is how you can determine then that it is proportional is that right? Is there also any other way to figure that out?
That is what proportional means.
To determine if the relationship between the rider's height above the first floor and the time since the rider stepped on the elevator or escalator is proportional or non-proportional, we have to check if the equation has the form of y = kx or y = mx + b.
In the given equation, h = 0.8t, we can rewrite it as h = 0.8t + 0. This equation can be expressed in the form of y = mx + b. Here, h represents the dependent variable (y), t represents the independent variable (x), 0.8 represents the slope (m), and 0 represents the y-intercept (b).
Since the y-intercept (b) is equal to 0, this means that the equation represents a proportional relationship.
In a proportional relationship, the y-intercept is always equal to 0, indicating that the dependent variable (y) starts at 0 when the independent variable (x) is 0. In this case, when the time (t) is 0, the rider's height (h) is also 0.
Therefore, the relationship of the rider's height above the first floor and the time since the rider stepped on the elevator or escalator is proportional.