Question

Victor drove away from his house to go on a trip. Several hours later, he was hundreds of miles from home and he stopped driving. Let t represent the amount of time Victor drives in hours, and let d represent the distance he has traveled in miles.



Which sketch models this situation?

Answer 1

A
http://static.k12.com/calms_media/media/1512000_1512500/1512475/1/3822dddb5dd3d48fe82b6336f9ee8fa5915b405c/MS_IMC_080714_130205.jpg




B
http://static.k12.com/calms_media/media/1512000_1512500/1512476/1/43f376088036665becabbb19d2583601bc18f959/MS_IMC_080714_130206.jpg




C
http://static.k12.com/calms_media/media/1512000_1512500/1512477/1/dcd1c70a01b575d88161ea2b74bda6067412ab38/MS_IMC_080714_130207.jpg



D
http://static.k12.com/calms_media/media/1512000_1512500/1512478/1/639939a532f27189559b6c72391d67285aaf2e0f/MS_IMC_080714_130208.jpg

Answer 2

@jtvatsim

Answer 3

Hmm... this one is basically the same as the last question.

You'll need to think about two things:
1) How far from home is he when he starts driving? (might be obvious)
2) Will he be getting farther or closer to home as he drives?

Answer 4

so its B

Answer 5

Almost... Remember he is driving away from home.

Answer 6

C

Answer 7

Hold on a sec... Let's make sure you understand how to read graphs... that is the most important thing. Once you understand, it will be easier. :)

Answer 8

When reading any graph, there are two scales. Let me begin with the time scale. This is often horizontal (flat).

Answer 9

Time = 0 tells you when the story begins. Time = 1 is when you are 1 second, 1 minute, 1 hour, or some other time into the story.

Answer 10

There is also a vertical scale (this can be distance, amount of water, or really anything)

Answer 11

By itself it looks like this.

Answer 12

When distance = 0, you have not left. When distance = 1, you are 1 foot, 1 mile, or 1 whatever length you are using.

Answer 13

Now, we combine them into what people call a "graph"

Answer 14

Does that make sense about how the graph is built from two pieces?

Answer 15

yes

Answer 16

OK, so the story begin like this, "Victor drove away from his house to go on a trip. Several hours later, he was hundreds of miles from home and he stopped driving"

Answer 17

When you "drive away from your house," you must have been at home when you started, right? It's kind of a "duh" statement by the teacher. :)

Answer 18

So, we know that at time = 0, distance = 0.

Answer 19

We must have a dot at this position in the graph.