Applications of solving problems using patterns

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Introduction to Applications of Solving Problems Using Patterns:
How to solve world problems for number patterns, function tables, and function formulas.

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Examples

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Lessons

Patterns - Word Problem 1
Siobhan picks 3 flowers every year on her birthday to add to her book of dried flowers. Her collection has 12 flowers this year.
1. Use the table to show many flowers she will have by the 5^th year.
2. Write the rule (formula) for the function table.
3. How many flowers will she have in the 62^nd year?
Patterns - Word Problem 2
Regular polygons follow a pattern for the variables: number of sides (s) and sum of total internal angles (A).
1. Use the table to write a rule (formula) for the pattern. Create a new column for number of sides for each shape.
2. What is the sum of angles for a regular octagon (8 sides)?
3. What is the sum of angles for a regular dodecagon (12 sides)?
Patterns - Word Problem 3
Kelsey found a leak in a pipe in her basement and put a measuring jar under it to catch the water. She noticed that every hour, the water level increased by 2mL in the jar.
1. There is 34mL of water in the jar after the 1st hour. Fill out the function table and write the rule (formula).
2. How much water will there be in the jar after 1 week?
3. Kelsey wants to know when she will have to dump out the jar (before it overfills). The measuring jar has a maximum capacity of 500mL. When will she have to dump out the water?
Patterns - Word Problem 4
At an airport, the pay parking costs a flat rate plus an additional cost for every hour you are parked there.
1. The table shows how much people paid for the amount of time they were parked. What is the rule (formula) for the pattern?
2. What was the flat rate? And what was the cost per hour?
3. If someone left their car at the airport for a week, how much would they have to pay for parking?
Patterns - Word Problem 5
Nora's laptop is broken. She wants to compare the rates that are charged by two different computer repair stores. Store A charges a $50 service fee up front plus $30 per hour. Store B charges a $100 service fee up front plus $15 per hour.
1. Write the rule and fill out a function table for both stores.
2. Explain when Store A would be the better deal (lower cost). Then, explain when Store B would be the better deal.
3. If it took 24 hours to fix the laptop, how much would it cost at each store? And what is the difference between the costs?