Ascientist begins with 250 grams of a radioactive substance. after 250 minutes, the sample has decayed to 32 grams. rounding to five significant digits, write an exponential equation representing this situation. to the nearest minute, what is the half-life of this substance?

Part 1 :

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

If t = 0 min, A = 250 grams,

If t = 250, A = 32 grams,

Taking ln both sides,

Hence, the equation that shows this situation,

Part 2 : If A = 250/2 = 125,

Taking ln both sides,

Therefore, the half life of the substance would be 84 minutes.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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step-by-step explanation: