A40 gram sample of substance that's used for drug research has a k-value of 0.1455.

find the substance's half-life, in days.
round your answer to the nearest tenth.

4.8

Step-by-step explanation:

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0.5 In / 0.1455

0.5 In = -0.693147180559945309417232121455818

In(0.5) / 0.1455 = -4.76389814811783182777816640650046

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

b). 4320 have a nice day