Check it out! 3.3.2: Proving Average Rate of Change

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Check it out! 3.3.2: Proving Average Rate of Change http://walch.com/wu/CAU3L3S2Boat 3.3.2: Proving Average Rate of Change

Which boat will have the greater value in 3 years? Lupita wants to buy a boat that will have the best resale value after 3 years. At one boat dealer, she found a boat she likes that sells for $15,000 and depreciates at a rate of 30% per year. What will be the value of the boat after 3 years? At another dealer, she found a boat that costs $12,000 and depreciates at a rate of 20% per year. What will be the value of the boat after 3 years? Which boat will have the greater value in 3 years? Common Core Georgia Performance Standard: MCC9–12.F.IF.6; MCC9–12.F.LE.1a 3.3.2: Proving Average Rate of Change

Create a table to show the decrease in value for the first 3 years. At one boat dealer, she found a boat she likes that sells for $15,000 and depreciates at a rate of 30% per year. What will be the value of the boat after 3 years? When the boat is new, it is worth $15,000; then it depreciates at a rate of 30% each year. Create a table to show the decrease in value for the first 3 years. 3.3.2: Proving Average Rate of Change

Boat A will be worth $5,145 after 3 years. Value of Boat A, in dollars ($) 15,000 1 15,000(0.70) = 10,500 2 10,500(0.70) = 7350 3 7350(0.70) = 5145 3.3.2: Proving Average Rate of Change

Create a table to show the decrease in value for the first 3 years. At another dealer, she found a boat that costs $12,000 and depreciates at a rate of 20% per year. What will be the value of the boat after 3 years? When the boat is new, it is worth $12,000; then it depreciates at a rate of 20% each year. Create a table to show the decrease in value for the first 3 years. 3.3.2: Proving Average Rate of Change

Boat B will be worth $6,144 after 3 years. Value of Boat B, in dollars ($) 12,000 1 12,000(0.80) = 9600 2 9600(0.80) = 7680 3 7680(0.80) = 6144 3.3.2: Proving Average Rate of Change

Which boat will have the greater value in 3 years? Boat A will be worth $5,145 after 3 years. Boat B will be worth $6,144 after 3 years. Boat B will be worth more than Boat A after 3 years. Connection to the Lesson Students will be asked to calculate the average rate of change of a function over a specified interval given a graph. Students will compare rates of change over various intervals. 3.3.2: Proving Average Rate of Change