5. 1 Pet Sitterssalemjrhighjohnson.weebly.com/uploads/5/8/6/7/... · 5. 1 Pet Sitters A Develop...

SECONDARY MATH I // MODULE 5

SYSTEMS OF EQUATIONS AND INEQUALITIES – 5.1

Mathematics Vision Project

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5. 1 Pet Sitters

A Develop Understanding Task

TheMartineztwins,CarlosandClarita,aretryingtofindawaytomakemoneyduring

summervacation.Whentheyoverheartheirauntcomplainingabouthowdifficultitistofind

someonetocareforherpetswhileshewillbeawayonatrip,CarlosandClaritaknowtheyhave

foundtheperfectsolution.Notonlydotheyhavealarge,unusedstorageshedontheirproperty

wheretheycanhouseanimals,theyalsohaveaspaciousfencedbackyardwherethepetscanplay.

CarlosandClaritaaremakingalistofsomeoftheissuestheyneedtoconsideraspartof

theirbusinessplantocareforcatsanddogswhiletheirownersareonvacation.

• Space:Catpenswillrequire6ft2ofspace,whiledogrunsrequire24ft2.CarlosandClaritahaveupto360ft2availableinthestorageshedforpensandruns,whilestillleavingenoughroomtomovearoundthecages.

• Start-upCosts:CarlosandClaritaplantoinvestmuchofthe$1280theyearnedfromtheirlastbusinessventuretopurchasecatpensanddogruns.Itwillcost$32foreachcatpenand$80foreachdogrun.

Ofcourse,CarlosandClaritawanttomakeasmuchmoneyaspossiblefromtheirbusiness,

sotheyaretryingtodeterminehowmanyofeachtypeofpettheyshouldplantoaccommodate.

Theyplantocharge$8perdayforboardingeachcatand$20perdayforeachdog.

Aftersurveyingthecommunityregardingthepetboardingneeds,CarlosandClaritaare

confidentthattheycankeepalloftheirboardingspacesfilledforthesummer.

Sothequestionis,howmanyofeachtypeofpetshouldtheypreparefor?Theirdadhas

suggestedthesamenumberofeach,perhaps12catsand12dogs.Carlosthinkstheyshouldplan

formoredogs,sincetheycanchargemore.Claritathinkstheyshouldplanformorecatssincethey

takelessspaceandtime,andthereforetheycanboardmore.

Whatdoyouthink?WhatrecommendationswouldyougivetoCarlosandClarita,andwhat

argumentwouldyouusetoconvincethemthatyourrecommendationisreasonable?

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