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Solving Word Problems. Linear and Exponential Functions. Linear Functions Review. A toll costs $0.50 per vehicle. Arithmetic or Geometric? Write an explicit model for this situation. Linear Word Problems How to set up/solve…. Make a table of values based on the key information
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Solving Word Problems Linear and Exponential Functions
Linear Functions Review A toll costs $0.50 per vehicle. Arithmetic or Geometric? Write an explicit model for this situation.
Linear Word ProblemsHow to set up/solve… Make a table of values based on the key information Arithmetic: find the difference Write the Explicit Formula: Solve for the appropriate variable
Example #1 Millie earns $10 an hour babysitting. For every hour she works, she has to save $2 towards her cell phone bill. Write a model for this situation. How many hours will she have to babysit to afford her $65 cell phone plan?
Example #2 Eduardo mows lawns during the summer for $40 per lawn and he can mow 8 lawns per week. It costs him $20 in gas and supplies to run his business each week. If his summer lasts for 8 weeks, how much will he earn total?
Example #3 Samantha loves to go to the movies. The cost of a movie is $12 for a student and she sees two per weekend. Write a model for this situation. How many weekends did she spend at the movies if she spent a total of $336?
Skills Check #1 An employee at Chick-fil-A earn $7.25/ hr. Write a model for this situation. If Madison works 35 hours per week, how much will he have after two months (Assume 4 weeks/month)?
Exponential Functions Review A bone weighing 32 grams loses half its mass every year. Arithmetic or Geometric? Write an explicit model for this situation.
Exponential Word ProblemsHow to set up/solve… Make a table of values based on the key information Geometric: find the ratio Write the Explicit Formula: Solve for the appropriate variable
Example #4 A population of mosquitoes is decreasing by ½ every year. There were originally 1,000,000 mosquitoes. Write a model for this situation. Approximately, how many mosquitoes exist after 10 years?
Example #5 Jacob puts $300 into his savings account in January. The account earns 15% interest each month. Write a model for this situation. How much money will Jacob have in the account in November?
Skills Check 2 A contagious virus affects triple the amount of people every week. If there are five sick people in Week 1, how many people are sick after 20 weeks?