1. Component 3 Using Technology to Picture Change

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

3. 3 Using Technology to Picture Change 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 Check your Work

4. 3 Using Technology to Picture Change 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 Check your Work

5. 3 Using Technology to Picture Change 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 Check your Work

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

7. 3 Using Technology to Picture Change slope = -10 y intercept = 170 y = -10x +170 Cinderella in y 1 y = 5x + 50 Stepsister in y 2 y = -10x + 170 Continue

8. 3 Using Technology to Picture Change Press ZOOM and Select 0. x value (number of weeks) y values (amounts of money) 160 120 80 40 40 80 120 160 Press enter to learn that when x is 8, y will be 90. At the end of week 8, both girls will have $90. Press 2nd trace and select option 5