00:01
So in this question, we're given a graph that shows how the speed limit varies with distance.
00:09
And in part a, we're asked to determine the speed limit when the distance is four miles.
00:15
So if we look at the graph, we see an open point at four miles and a close point at four miles.
00:24
So we basically take the speed limit at the close point and we say that the speed.
00:31
Limit is 40 miles per hour when x is 4 so that's our answer to part a now in part b we're asked to estimate the miles when the speed limit is 30 so if we look at the graph for 30 we see that the estimate is approximately half and so our answer here, so at 30 miles per hour speed limit, the distance is around 6 miles.
01:15
That's our answer to part b.
01:19
In part c, we're asked to evaluate what the y value is at the 3 x values of 5, 13, and 15.
01:29
So if you look at the graph, we have this function when x is 5, so our y value here is now if we look at 13, so we have 13 around here, and this is our function, so we have f of 13 to be 30.
02:02
And if we look at 19, 19 is approximately about here, and this is where the y values lie.
02:12
And we have f of 19 is equals to 60.
02:18
That's our answer to part c.
02:24
Actually, just to correct this, f of 19 is not 60, it's actually 55 because it lies in the middle...