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# recursion and Linear Functions

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## Andres Chavera

on 16 November 2012

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#### Transcript of recursion and Linear Functions

Emily Shanks and Andres Chavera Recursion and Linear Functions 6. How much does Coen earn if he sells 100 magazines subscriptions? Which rule did you use to anwser this question? Why did you choose that rule? 7. Coen is trying to earn enough money to buy a new MP3 player. He needs \$225 to cover the cost and tax on the MP3 player.How many magazine subscriptions does Coen need to sell to buy his new MP3 player? Justify your anwser. Which rule did you use to anwser this question? Why did you choose that rule? 8.Write a recursive rule describing your monthly cost for international calls. Then write a function rule for n minuets of calls made in a month. 10. Extension: Think of a situation that can be described by a linear function. Model the situation using a recursive rule and a function rule. Write a question that is better answered using a recursive rule and give a solution. M= \$1.50n+\$20
= \$1.50(100)+\$20
= \$150=\$20
=\$170 M=\$1.50n+\$20 Mn+1= Mn + \$.03

Y=\$.03x + \$5.00
Sally sells cookies for Girl Scouts she gets \$1.00 for each box sold. She gets \$30 to begin with. The function rule. It is easier and we have more experience wit it. 225=\$1.50n+\$20
-20 -\$20
205divided by 1.50=\$1.50n divided by 1.50=0
n=137 Function rule, because it is easier.
With n as the only variable needed to be solved, the equation must be changed to equal n. The \$.03 is the money that changes and the \$5.00 is a flat fee. 9. Reflection How are recursive rules different from explicit function rules for modeling linear data?
How are they the same?
When are recursive rules more useful than function rules?
When are function rules more useful? Function rules shows values that don't change.
They both find the same answer.
When leaving out extra values.
When the data needs to be graphed. Mn+1= Mn+\$1 when n=0,1,2,3... and n0=\$30
Y=\$1x+\$30 How much money would Sally make if she sold 74 boxes?
\$74
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