Mice on Two Islands.

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Presentation transcript:

Mice on Two Islands

X-ray Island 20,000 mice are on the Island Population of mice grows 3000 mice every year How many mice in 1 year? 5 years? 7 years? N years?

Tango Island 20,000 mice are on the Island Population of mice grows 10% every year How many mice in 1 year? 5 years? 7 years? N years?

Proportional Reasoning +Additive Models A factory builds 500 widgets a week. They want to increase productivity by 25 widgets a week over the next 3 months. What is the factories production rate per week for any given week? 500 + 25W = P where P = Production rate and W = the number of weeks

Proportional Reasoning +Multiplicative Models A factory builds 500 widgets a week. They want to increase productivity by 2.5% widgets a week over the next 3 months. What is the factories production rate per week for any given week? 500∙1.025W = P where P = Production rate and W = the number of weeks