Date post: | 02-Jan-2016 |
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Do Now• 1) Retrieve 2 different colored pencils and a ruler from the front.• 2) Here the answers to the homework from last night. For the “Do
Now”, please check your work. Check with a partner first if you have questions, and I will answer remaining questions.
1) 26 nickels2) $2.50/lb for cinnamon and $3.00/lb for spice3) $0.66 for the first three minutes and $0.19 for each additional4) 16 kg.5) 10 oz.6) rate in calm water=15/2 km/hr, rate of current=3/2 km/hr7) rate in calm water=16.5 mi/hr, rate of current=1.5 mi/hr8) 96/5 miles9) 10 kg. of the 5% solution and 30 kg. of the 25% solution
Solving Systems of Inequalities
• Graph the inequalities separately (you may wish to use different colored pencils to do this). Remember when to use dotted lines and when to use solid lines!
• The solution is simply where the shaded regions overlap.
Application• A person’s theoretical maximum heart rate is 220-x where x is
the person’s age in years (for ages 20-65 inclusive). When a person exercises, it is recommended that the person strive for a heart rate that is at least 70% of the maximum and at most 85% of the maximum.
Write and graph a system of linear inequalities to represent this situation, and use it to determine if a 40 year old with a heart rate of 150 bpm when exercising is within the target zone.
We see that for a 40 year old, a heart rate of 150bpm is within the target zone of 126 to 153 bpm inclusive.
Give it a Try! • You want to make a health mix of nuts and raisins that
provides at least 1800 calories for a hike along the Appalachian Trail that has no more than 110 grams of fat and weighs no more than 20 ounces. Let n = nuts and r = raisins.
• Write and graph a system of inequalities to model this situation.
Solution• 150n + 90r ≥ 1800150 calories per oz. nuts, 90 for raisins• 13n ≤ 11013 grams of fat per oz. of nuts, max. fat 110 grams• n + r ≤ 20Number of ounces of nuts & raisins cannot exceed 20 oz.