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Qui z1 ] I n1998,t her ewer e41, 814shoppi ngcent er si nacer t ai ncount r y .I n2008,t her ewer e48, 134. ( a) Wr i t eal i nearequat i onexpr es si ngt henumber�ofshoppi ngc ent er si nt er msoft henumber�of y ear saf t er1998. ( b) Usi ngt heequat i onf oundi npar t( a) ,pr edi ctt henumberofshoppi ngcent er si n 2017. ( c ) I nwhaty earwi l lt henumberofshoppi ngcent er sr each80, 000? ( a) Let

r epr esent st hey ear1998.Thent hey ear2008canber epr esent edas

I ti sgi v ent hatt her ewer e41, 814shoppi ngcent er si n1998.Sowhen Al s o,t her ewer e48, 134shoppi ngcent er si n2008.Sowhen

, ,

atx=0,t heyi nt er ceptwi l l be

.

Ther ef or et her equi r edl i nearequat i onwi l lbe: . Ther ef or et her equi r edl i nearequat i oni s : . ( b) Fort hey ear2017,x =20171998=19 Sosubs t i t ut i ng

i nt heabov eequat i on,weget :

Ther ef or et henumberofshoppi ngcent er si n2017i s53822 . ( c) Subs t i t ut i ng

Sol vi ngf orx :

i nt heobt ai nedequat i on,weget :

. .

Sot hesl opeoft hel i nearequat i oncor r espondi ngt ot hedat agi v enwi l l be:

Andsi nce

.

.

.

Ther ef or enumberofshoppi ngcent er swi l lr each80000i n60y ear saf t er1998. i . e.

.

Ther ef or enumberofshoppi ngcent er swi l lr each80000i n2058....