Lonnie walks for 30 minutes every day. The graph shows the number of Calories she burns in a week.



Which is true of the graph?

The graph shows the proportional relationship between the number of Calories she burns in a week and miles she walks. The correct option is C.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given,

Lonnie walks for 30 minutes every day.

The graph shows the number of Calories she burns in a week.

From the graph,

The y -intercept is 0.

Option A is incorrect.

And the graph of line is not y = 100x.

Because at x = 2, y is not 200.

That means, the points should be (2, 200).

But clearly this is not.

To find the proportional relationship:

From the graph, we interpreted two points,

(4, 300) and (3, 600)

Now, the proportional relationship is represented as

x/y = k,

where x and y are two expressions and k is constant.

4/300= 300/4 = 75

And 600/ 8 = 75.

That means, it shows the proportional relationship.

And there is no information about, the more Lonnie walks, the faster she goes.

So, this option is discarded.

Therefore, the correct option is C.

To learn more about the proportional relationship;

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