5. 4 pampering and feeding time - mrs. johnson's...

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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