Algebra I.1.D.27 -Recursive Challenge Problem—The Double and Add 5 Game - Exit Ticket

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1 question

Given a starting number, double it and add 5 to get the result of round one. Double the result of round one and add 5, and so on.
Problem 1: The goal of the game is to find the smallest starting whole number that produces a result of 100 or greater in three rounds or fewer.
Problem 2: The goal of the game is to find the smallest starting whole number that produces a result of 1,000 or greater in three rounds or fewer.
Problem 3: The goal of the game is to find the smallest starting whole number that produces a result of 1,000,000 or greater in three rounds or fewer.

Write a brief report about the answers you found to the Double and Add 5 game problems. Include justifications for why your starting numbers are correct.

From EngageNY.org of the New York State Education Department. Grade Algebra i Mathematics Module 1, Topic D, Lesson 27. Internet. Available from https://www.engageny.org/resource/algebra-i-module-1...; accessed 18/Oct/2015.