Find the range and interquartile range (IQR) of the data set in the box plot.
1 answer:
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Factorize the quadratic.
We have , so
Now, both and
(since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for
So the solution to the inequality is the set
Considering the function for the remaining amount of cesium in the atmosphere, F(x) = 1000×0.5^(x/30), we have;
First part:
- The area will be safe again in about 100 years time.
Second part;
- The y-intercept is at the start of the measurement
Third part;
- The function is a decay function
First part;
The given function for the remaining amount of cesium is presented as follows;
When 100 kg. of cesium is remaining, we have;
Which gives;
- Therefore, the area will be safe again in approximately 100 years.
Second part;
The y-intercept is given by the point where <em>x </em>= 0
At the y-intercept, we therefore have;
- F(0) = 1000
At the y-intercept, the amount of cesium remaining, F(x) is 1,000, which is the initial amount of cesium.
- The y-intercept is therefore, at the start of the measurement, where 1000 kg. is present in the atmosphere.
Third part;
The amount of cesium remaining F (x) decreases as the time, <em>x</em>, increases, the function is therefore a decay function.
Learn more about exponential functions here;
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