Almost any kind of quantitative data can be represented by a graph and some of these graphs represent functions. This is why functions and graphs are the objects analyzed by calculus. The next two problems illustrate data which can be represented by a graph. Match the following descriptions with their graphs below:

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joaobezerra joaobezerra · Answer 1 · 2022-09-13T20:09:14+02:00

Using the relation between velocity, distance and time, the items and graphs are matched as follows:

1. D.

2. B.

3. A.

4. C.

Velocity is distance divided by time, that is:

v = d/t.

Hence the distance is given by:

d = vt.

Along a city street, we have that:

The velocity would have a few peaks and few moments where it diminishes, due to breaking moments, hence item 4 matches with graph c.

The distance would have a few slow increases and a few moments where it remains almost constant, hence item 1 matches with graph 4.

We can verify this that when graph C(velocity) is zero, graph D(position) is constant.

Along a superhighway we have that:

The velocity would increase until the maximum velocity then remain constant there, hence item 3 matches with graph a.

The distance would have an almost constant increase, hence item 2 matches with graph b.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

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