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Solving Linear Equations: Cinderella and Stepsister's Savings Journey

Explore the intersection of Cinderella and her stepsister's financial journey using technology to visualize slope-intercept equations. Learn how to analyze weekly changes in savings for both characters. With Cinderella starting with $50 and saving $5 each week, watch her savings grow. In contrast, her stepsister spends $170 initially and incurs a loss of $10 weekly. Understand how to write their scenarios in slope-intercept form and calculate weekly increases or decreases. Engage with interactive technology to track their financial progress over time!

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Solving Linear Equations: Cinderella and Stepsister's Savings Journey

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Presentation Transcript

  1. Component 3 Using Technology to Picture Change

  2. Using Technology to Picture Change 3 The intersection is the solution! Cinderella y1 = 50 + 5w Stepsister y2 = 170 – 10w

  3. Using Technology to Picture Change 3 Cinderella had only $50 in her savings account, and saved $5 each week. What will be the weekly increase or rate of change in her account? Check your Work

  4. Using Technology to Picture Change 3 The weekly change is $5 so, m =5 x = number of weeks she worked y = the amount of money in her account If x= 0, what is y? Check your Work

  5. Using Technology to Picture Change 3 Did you answer that y= $50 when x = 0? If m = 5 and b = 50, write Cinderella’s equation in slope-intercept form. Check your Work

  6. Using Technology to Picture Change 3 y = 5x +50 Spent $170 and an additional $10 a week Write this equation in slope-intercept form. Check your Work

  7. Using Technology to Picture Change 3 Cinderella in y1 y= 5x + 50 Stepsister in y2 y= -10x + 170 slope = -10 yintercept = 170 y = -10x +170 Continue

  8. Using Technology to Picture Change 3 160 120 80 40 Press ZOOM and Select 0. x value (number of weeks) yvalues (amounts of money) Press enter to learn that when x is 8, y will be 90. At the end of week 8, both girls will have $90. Press2nd trace and select option 5 40 80 120 160

  9. Component 3 Quiz

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