I-7: Problem Solving With Two Variable Linear Equations

Guided Practice:

1.

Rick has nickels and dimes that total $1.60.  Create a linear equation that represents how many of each type of coin he has.

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Practice Problems:

For each problem below…

a)     Create a linear equation that models the situation.

b)    Find the intercepts of the equation.

c)     Graph the equation (you may have to use a scale other than 1).

d)    Interpret the intercepts.

  1. Adam was playing basketball for an entire season.  At the end of the year, he only shot 2-point baskets and 3-point baskets (no free throws), and he ended up with 180 points scored.  Your linear equation should model how many of each type of basket Adam scored.
  2. Elizabeth is organizing a car wash to raise funds for the student council.   She knows it will take 10 minutes to wash a car, and 15 minutes to wash anything larger than a car (SUV, van, truck, etc).  She wants to hold the car wash for 4 hours (240 minutes).  Your linear equation should model how many vehicles could be washed.
  3. Each time you get dimes or quarters for change, you throw them into a jar.  You have saved $50.00 in order to purchase an Itunes gift card for yourself.   Your linear equation should model how many of each type you might have saved.
  4. In 1998, Mark McGwire had the following baseball statistics:  After 40 games, he had 45 runs batted in.  After 80 games, he had 90 runs batted in.  Your linear equation should model an estimate to the number of runs batted in for any number of games that season.  Let x represent the number of games.  Let y represent the number of runs batted in.

4 e)   The record for runs batted in for a 162-game season is 190 runs batted in.  Use your equation above to find out if McGwire would have broken the record in 1998 if he had maintained that pace.

ANSWER KEY

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