Why It Matters: Linear Inequalities
Why Learn about Linear Inequalities?
Previously, we introduced Widmark's formula for calculating blood alcohol content:[latex]\text{B} = -0.015t +\left(\dfrac{2.84N}{Wg}\normalsize\right)[/latex]
where
- B = percentage of BAC
- t = number of hours since the first drink
- N = number of “standard drinks” (a standard drink is one [latex]12[/latex]-ounce beer, one [latex]5[/latex]-ounce glass of wine, or one [latex]1.5[/latex]-ounce shot of liquor). N should be at least [latex]1[/latex].
- W = weight in pounds
- g = gender constant: [latex]0.68[/latex] for men and [latex]0.55[/latex] for women
Remember Joan? When we left her, she was at a party. She had three drinks and then wanted to leave. This was worrisome. We posed the following questions:
- Where would she fall on the table of the progressive effects of alcohol after [latex]1.5[/latex] hours?
- Would she be within the legal limit to drive after this amount of time?
- Given any amount that she drinks, can you figure out how much time should pass before she can drive safely and legally?
Progressive effects of alcohol | ||
---|---|---|
BAC (% by vol.) | Behavior | Impairment |
[latex]0.001–0.029[/latex] |
|
|
[latex]0.030–0.059[/latex] |
|
|
[latex]0.060–0.099[/latex] |
|
|
[latex]0.100–0.199[/latex] |
|
|
[latex]0.200–0.299[/latex] |
|
|
[latex]0.300–0.399[/latex] |
|
|
[latex]0.400–0.500[/latex] |
|
|
[latex]>0.50[/latex] |
|
|
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- Revision and Adaptation. Provided by: Lumen Learning License: CC BY: Attribution.
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- College Algebra: Inequalities. Provided by: OpenStax License: CC BY: Attribution.
- Triangle Inequality. Provided by: Wikimedia Commons Authored by: By Brews ohare (Own work) . Located at: https://creativecommons.org/licenses/by-sa/3.0/. License: CC BY-SA: Attribution-ShareAlike.