Q:

I’ve been stuck on this for a while now and I can’t get passed it can someone please help me please please A) 5/31 ; your car travels 53 miles every 1 hour B) 10 ; your car travels for 10 hours C) 1/53 ; your car travels 53 miles every 1 hour D) 212 ; your car travels 212 miles

Accepted Solution

A:
The rate of change, or slope, is exactly what it sounds like: the amount of change in a certain interval of time. It can be defined as[tex]\frac{rise}{run}[/tex], or [tex]\frac{change in y value}{change in x value}[/tex]In order to find the slope of an equation, we can use this formula:[tex]\frac{y2 - y1}{x2 - x1}[/tex]      (numbers after variables are subscript)What this means is that for a certain y value (y2), we subtract the y value before it (y1), and the same for the x. Because the question says "the rate of change is constant," we only need to find this once. In this case, I will use the first 2 data sets in the table:[tex]\frac{6 - 4}{318 - 212}[/tex]= [tex]\frac{2}{106}[/tex]= [tex]\frac{1}{53}[/tex]Therefore, the answer would be C) [tex]\frac{1}{53}[/tex]; your car travels 53 miles every 1 hour.Hope this helps! :)