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There are 6 milligrams of a radioactive substance in a lab in month 1. Each month, half of the radioactive substance loses its radioactivity. Which graph matches this situation?

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There are 6 milligrams of a radioactive substance in a lab in month 1 Each month half of the radioactive substance loses its radioactivity Which graph matches t class=

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Answer:

D) Graph D

Step-by-step explanation:

In month 1, we know that there are 6 milligrams of the substance.  This means we need to have a graph that contains the point (1, 6).

The substance loses half of its radioactivity every month.  This means in month 2, there will be 3 milligrams of the substance; in month 3, there will be 1.5 milligrams of the substance; etc.

The only graph that contains all of these points is graph D.

Answer:

Graph D.

Step-by-step explanation:

When a radioactive substance loses its radioactivity, reduction in its amount represents exponential sequence and the graph represents the exponential graph.

So graph number 1 is invalid which is representing a linear graph.

Now amount of the radioactive substance is 6 milligrams in month 1. So the point on graph should be (6, 1).

After 1 month it reduces to half 3 milligram in 2nd month and the point will be (3, 2).  

Similarly after 3rd and 4th month points will be (1.5, 3) and (0.75, 4).

These points have been plotted in graph number D only.

Therefore Graph D is the answer.

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