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Ten-packs of gum are on sale for 4,butthereisastorelimitoffivepackspercustomer.Thefunction4, but there is a store limit of five packs per customer. The functionC(x)givesthecostgives the costCforforx 10$-packs. Which of the following best represents the range of this function?

A.{4}\{4\}B.{5}\{5\}C.{0,1,2,3,4,5}\{0,1,2,3,4,5\}D.{0,4,8,12,16,20}\{0,4,8,12,16,20\}

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Since each 10-pack is $4, then$x$10-packs is4x4xdollars soC(x)=4xC(x)=4x. Their is a store limit of 5 packs per customer so substitutex=0x=0tox=5x=5into$C(x)=4x

tofindtherange:C(0)=4(0)=0C(1)=4(1)=4C(2)=4(2)=8C(3)=4(3)=12C(4)=4(4)=16C(5)=4(5)=20Therangeisthento find the range: \begin{align*} C(0)&=4(0)=0\\ C(1)&=4(1)=4\\ C(2)&=4(2)=8\\ C(3)&=4(3)=12\\ C(4)&=4(4)=16\\ C(5)&=4(5)=20 \end{align*} The range is then

{0, 4, 8, 12, 16, 20}$.

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