If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
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Answer:
Step-by-step explanation
The relative error is the absolute error divided by the absolute value of p. for an approximation p*, the relative error is
r = |p*-p|/|p|
we want r to be at most 10⁻³, thus
|p*-p|/|p| ≤ 10⁻³
|p*-p| ≤ |p|* 10⁻³
therefore, p*-p should lie in the interval [ - |p| * 10⁻³ , |p| * 10⁻³ ], and as a consecuence, p* should be in the interval [p - |p| * 10⁻³ , p + |p| * 10⁻³ ]
recall, slope = rise/run, and that a fraction is undefined when the denominator is 0, meaning this slope has a run = 0.
to make it short, when the slope is undefined, is a flag that we simply have a vertical line. Check the picture below.
