Nth Term Word Problems. Anytime you see the words PER EACH It is a pattern word problem and should be put into y = pattern x + zero term - The per/each.

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Presentation transcript:

Nth Term Word Problems

Anytime you see the words PER EACH It is a pattern word problem and should be put into y = pattern x + zero term - The per/each is the pattern and often they will say one time fee, one time bonus, starting fee for the zero term

Since the data shows a ___________ difference the pattern is __________. If a pattern is linear then its graph is a straight _________. A DVD buyers club charges a $20 membership fee and $15 per DVD purchased. The table below represents this situation. Number of DVDs purchased Total cost ($) Find the first differences for the total cost. constantlinear line

The equation represents this situation. Number of DVDs purchased Total cost ($) Constant difference or price per DVD Membership fee

Cindy needed a babysitter for her kids every Sunday night. She had two choices and she needs your help to determine which one is cheaper for 5 hours of babysitting. Alice charges a one-time fee of $10 plus another $5 per hour. Katie charges only $10.50 per hour. Help Cindy make her decision by making equations for both and finding the total charge for each babysitter. ALICE Per/each: One time fee: y = _________ x + _________ KATIE Per/each: One time fee: y = _________ x + _________

Ace Car Rental costs $0.50 per mile driven. If you wanted to rent a car to drive 200 miles, what would be your total cost?

Example 1: The costs associated with being a member of a CD Club are presented in the table below. Number of CDs purchased Total cost ($) The club charges _________ per CD. The cost for 0 CDs is ____________. Therefore, the club membership (initial cost) must be _________. $13 $26

Try this… A rental car company charges you 75 cents per mile that you drive their Saturn Ion. How many miles would it take you to spend all of your $100 traveling budget? Number of miles driven Total cost ($)