00:02
Distance rate and time.
00:05
The formula, d equals 2t, is the distance d, that a child can walk in a time, t, at the rate of 2 miles per hour.
00:32
Complete the table of solutions and then graph the equation to get the picture of the relationship between distance and time.
00:40
Plot t on the horizontal axis and d on the vertical axis.
00:47
So i'm not given any solutions.
00:50
So i'm going to create a table and we're going to graph it.
00:54
So on the left hand side of the table, i'm going to put t and this is going to represent our time in hours.
01:10
And then on the right side of the table, i'm going to write distance.
01:18
And this is going to be in miles.
01:20
Now, how did i get miles when it wasn't given to us? well, her speed, the child's speed, is in miles per hour.
01:36
And this is written as miles divided by hours.
01:41
So if we have hours, because that's given to us in the problem, the distance must be miles, because that is the only other measure of distance that is given.
01:56
So at time zero, her distance d is equal to two times zero or zero miles.
02:09
Because at time zero, the child hasn't gone anywhere.
02:14
At time one half, d equals two times one half or two divided by two, and this is equal to one mile.
02:29
At time one or one hour, d is equal to two times one, which equals two.
02:40
At 1 .5, for one hour, 30 minutes, d is equal to 2 times 1 .5 or 3 miles.
02:55
At two hours, d is equal to 2 times 2, and this is equal to 4 miles.
03:04
And then at 2 .5, d is equal to 2 times 2 .5, and this is equal to 5 miles.
03:17
And then at 3 hours, the child's distance is going to be 2 times 3, 4, 6...