What is the half-life of polonium-214 if, after 820. seconds, a 1.0-g sample decays to 31.25 mg?
1 answer:
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Answer:
-4
Step-by-step explanation:
The slope of a function f(x) passing through two points of coordinates and
is given by
Therefore, in order to find the slope of the function h(x) of this problem, we have to find the coordinates of 2 points.
We know that h(x) has an x-intercept of 2: the x-intercept is the point where the function crosses the x-axis, so the coordinates of this point are
Because at x = 2, the value of y is zero.
We also know that h(x) has an y-intercept of 8: the y-intercept is the point where the function crosses the y-axis, so the coordinates of this point are
Because at x = 0, the value of y is 8.
Therefore, we can now use these 2 points to calculate the slope of the function: