Unit 5. Day 3.

Calculator allowed today

Example A: Kat was making cupcakes for fun Example A: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 300 cupcakes for a wedding. How much will the ingredients cost? 45 18 300 ? $ 𝑐 = $ 𝑐 = $ 300 𝑐 𝑥 120 $18 45 𝑐 ÷45 $ 1 𝑐 0.4 300 ÷45 300 3 0 0 . 4 0.4 × . 1 2 45 1 8 + − ∎ 1 8 0 1 2 .

Example B: Kat was making cupcakes for fun Example B: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 195 cupcakes for a wedding. How much will the ingredients cost? 45 18 195 ? $ 𝑐 = $ 𝑐 = $ 195 𝑐 𝑥 $18 45 𝑐 ÷45 $ 1 𝑐 0.4 195 78 ÷45 195 3 2 1 9 5 . 4 0.4 × . 7 8 45 1 8 + − ∎ 1 8 0 7 8 .

Example C: Kat was making cupcakes for fun Example C: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 217 cupcakes for a wedding. How much will the ingredients cost? 45 18 217 ? $ 𝑐 = $ 𝑐 = $ 217 𝑐 𝑥 86.8 $18 45 𝑐 ÷45 $ 1 𝑐 0.4 217 ÷45 217 2 2 1 7 . 4 0.4 × . 8 6 8 45 1 8 + − ∎ 1 8 0 8 6 . 8

Example D: Kat was making cupcakes for fun Example D: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 425 cupcakes for a wedding. How much will the ingredients cost? Example E: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 85 cupcakes for a wedding. How much will the ingredients cost? Example F: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 67 cupcakes for a wedding. How much will the ingredients cost? It helps to model this with an equation.

$0.40 1 𝑐𝑢𝑝𝑐𝑎𝑘𝑒 ∙ 𝐶 𝑜𝑠𝑡 = $0.40 1 $0.40 ∙ $0.80 𝐶 𝑜𝑠𝑡 = $0.40 2 $1.20 ∙ 𝐶 𝑜𝑠𝑡 = $0.40 3 ∙ $1.60 𝐶 𝑜𝑠𝑡 = $0.40 4 ∙ $0.40𝑛 0.4 𝑛 𝐶 𝐶 𝑜𝑠𝑡 = = $0.40 𝑛

Example D: Kat was making cupcakes for fun Example D: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 425 cupcakes for a wedding. How much will the ingredients cost? Example E: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 85 cupcakes for a wedding. How much will the ingredients cost? Example F: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 67 cupcakes for a wedding. How much will the ingredients cost? $0.40 1 𝑐𝑢𝑝𝑐𝑎𝑘𝑒 𝐶=0.4𝑛

Example D: Kat was making cupcakes for fun Example D: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 425 cupcakes for a wedding. How much will the ingredients cost? 425 $0.40 1 𝑐𝑢𝑝𝑐𝑎𝑘𝑒 𝐶=0.4𝑛 𝐶=0.4 𝑛 𝐶 = 1 2 4 2 5 0.4 × 1 7 + ∎ 1 170 7 .

Example D: Kat was making cupcakes for fun Example D: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 425 cupcakes for a wedding. How much will the ingredients cost? Example E: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 85 cupcakes for a wedding. How much will the ingredients cost? Example F: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 67 cupcakes for a wedding. How much will the ingredients cost? $0.40 1 𝑐𝑢𝑝𝑐𝑎𝑘𝑒 𝐶=0.4𝑛

Example E: Kat was making cupcakes for fun Example E: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 85 cupcakes for a wedding. How much will the ingredients cost? 85 $0.40 1 𝑐𝑢𝑝𝑐𝑎𝑘𝑒 𝐶=0.4𝑛 𝐶=0.4 𝑛 𝐶 = 2 8 5 0.4 × 3 4 + ∎ 34 3 4 .

Example F: Kat was making cupcakes for fun Example F: Kat was making cupcakes for fun. She made 45 cupcakes and the ingredients cost her $18. Someone asked her if she would make 67 cupcakes for a wedding. How much will the ingredients cost? 67 $0.40 1 𝑐𝑢𝑝𝑐𝑎𝑘𝑒 𝐶=0.4𝑛 𝐶=0.4 𝑛 𝐶 = 2 6 7 0.4 × 2 6 8 + ∎ 26.80 2 6 . 8

Which method do you like better? Why? In what situations is one more efficient?