3.3 Systems of Inequalities. 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.
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1) 26 nickels
2) $2.50/lb for cinnamon and $3.00/lb for spice
3) $0.66 for the first three minutes and $0.19 for each additional
4) 16 kg.
5) 10 oz.
6) rate in calm water=15/2 km/hr, rate of current=3/2 km/hr
7) rate in calm water=16.5 mi/hr, rate of current=1.5 mi/hr
8) 96/5 miles
9) 10 kg. of the 5% solution and 30 kg. of the 25% solution
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.
x=the person’s age and y=the person’s heart rate
We see that for a 40 year old, a heart rate of 150bpm is within the target zone of 126 to 153 bpm inclusive.
150 calories per oz. nuts, 90 for raisins
13 grams of fat per oz. of nuts, max. fat 110 grams
Number of ounces of nuts & raisins cannot exceed 20 oz.
Suppose a zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 ft and the distance around it should be no more than 310 ft. What are the possible dimensions of the habitat?