The number line shows the distance and time traveled by the...

The number line shows the distance and time traveled by the ant and the lady- bug. Match each line in the graph to the bug it represents by either writing lady- bug or ant. + start start start start 0 seconds 2 seconds 4 seconds 6 seconds The distance traveled by an ant and a ladybug on number lines Press a hotspot, then type your response, and press submit. Repeat for each response. Elapsed time (sec) b a 0 Distance traveled (cm) Label each line with the bug it represents.

Transcript

00:01 So in this question, we're given that a bug is moving along a paper, and it starts at this point that we have on the bottom left right here.

00:10 And then the bug is moving in a constant, or like the same speed every time.

00:16 So after two seconds, he's at 9 .8.

00:19 And then after 4 seconds, he is at 1512.

00:26 So what this is here is this is a linear function where...

00:31 Our bug is moving at a constant rate going that way.

00:36 So first thing we want to figure out is how much is the bug moving each direction for every second? so if i go to my first point here, we notice that he goes up four and then over six for every two seconds.

00:54 Okay, so the change in the y direction is four, and then the change in the x direction is six.

01:02 However, since we have six and then nine, which does not divide by two, we want to put this in single seconds.

01:12 So how much does the bug move every second that he travels? so in order to do that, we would just have to divide these by two.

01:21 So we're going to get that my x value is going to be plus three for every second.

01:28 And then my y value is going to be plus two for every second that he travels.

01:35 All right.

01:36 So let's see.

01:38 All right.

01:40 So i have this point right here.

01:43 That's my last point.

01:44 That's at four seconds.

01:45 I need to travel six seconds, which would be two more seconds.

01:51 So i need to add three times two, which we had a six, and then two times two, which is four.

01:59 So i'm going to take my previous point, 15 and 12, and i'm going to add 6 and then add 4.

02:10 Okay, so i've got 21 here, and then i've got 16 here.

02:18 Okay, so x direction we added 6, y direction we added 4, because that's how consistent he was traveling.

02:27 Okay, so this is after 6 seconds.

02:30 Now let's do after 9 seconds.

02:33 So we're going to take this last point that we had.

02:38 And we need to add three more seconds to it.

02:42 So in order to add three more seconds, i'm going to have to add three times three to the x.

02:48 And then to the y value, i'm going to have to add two times three.

02:53 So i'm going to do 21 plus 9...

Question

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