Check it out! 1 3.3.2: Proving Average Rate of Change.

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Presentation transcript:

Check it out! : Proving Average Rate of Change

Lupita wants to buy a boat that will have the best resale value after 3 years. 1.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? 2.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? 3.Which boat will have the greater value in 3 years? : Proving Average Rate of Change

1.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 : Proving Average Rate of Change

Boat A will be worth $5,145 after 3 years : Proving Average Rate of Change YearValue of Boat A, in dollars ($) 015, ,000(0.70) = 10, ,500(0.70) = (0.70) = 5145

2.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 : Proving Average Rate of Change

Boat B will be worth $6,144 after 3 years : Proving Average Rate of Change YearValue of Boat B, in dollars ($) 012, ,000(0.80) = (0.80) = (0.80) = 6144

3.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 : Proving Average Rate of Change