Pick any number, multiply the number by 5, and add 10 to the number. Divide the sum by 5. Subtract 1 from the quotient.
a) What is the relationship between the number you started with and the final answer?
b) Arbitrarily select some different numbers and repeat the process. Record the original number and the results.
c) Make a conjecture about the relationship between the original number and the final answer.
d) Prove, using deductive reasoning, the conjecture made in part (c).
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