[Video] Q13: C(t) = 50.25t + 228.75the average cost per square foot, in dollars, of a condominium in city x can be modeled by the function c defined above, where t is the number of years after 2001 and 0 <= t <= 8. in the function, what does the number 50.25 represent?

Explanation for Question 13 From the Math (No Calc) Section on the 2019 April Sat

And number 13, we are given the average cost per square foot in dollars 2 of a condominium in city X, which is modeled by the function C 3 where T is a number of years after 2001. 4 And T is in between zero and eight years. 5 Then we're told that we were looking for what, 6 the number 50.25 represents in this equation. 7 So if we look at it, it looks similar to Y equals MX 8 plus B, except our variable isn't X. 9 It is T since we're looking for 50.25, 10 that matches up with the slope of slope intercept form. 11 So we know that 50.25 is our slope. 12 Now we have to think about what slope represents in an equation. 13 So, you know, slope is rise over run, 14 which is Y over X. So that means for every time your X variable 15 increases, the slope gives you how much your Y variable increases. 16 So in context of this question, 17 that means that for every year that you increase, 18 the slope tells you how much the cost increases. 19 So that means that 50.25 20 represents the approximate increase in the average cost per square foot for 21 each additional year after 2001.