SECONDARY MATH I // MODULE 5
SYSTEMS OF EQUATIONS AND INEQUALITIES – 5.4
Mathematics Vision Project
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5. 4 Pampering and Feeding Time
A Practice Understanding Task
CarlosandClaritahavebeenworriedaboutspaceandstart-upcostsfortheirpetsitters
business,buttheyrealizetheyalsohavealimitontheamountoftimetheyhavefortakingcareof
theanimalstheyboard.Tokeepthingsfair,theyhaveagreedonthefollowingtimeconstraints.
• FeedingTime:CarlosandClaritaestimatethatcatswillrequire6minutestwiceaday—
morningandevening—tofeedandcleantheirlitterboxes,foratotalof12minutesperdayforeachcat.Dogswillrequire10minutestwiceadaytofeedandwalk,foratotalof20minutesperdayforeachdog.Carloscanspendupto8hourseachdayforthemorningandeveningfeedings,butneedsthemiddleofthedayoffforbaseballpracticeandgames.
• PamperingTime:Thetwinsplantospend16minuteseachdaybrushingandpettingeachcat,and20minuteseachdaybathingorplayingwitheachdog.Claritaneedstimeoffinthemorningforswimteamandeveningforherartclass,butshecanspendupto8hoursduringthemiddleofthedaytopamperandplaywiththepets.
Writeinequalitiesforeachoftheseadditionaltimeconstraints.Shadethesolutionsetfor
eachconstraintonseparatecoordinategrids.
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