6. The area of a rectangle is 14 square units. It has side lengths \( x \) and \( y \). Given each value for \( x \), find \( y \). a, \( x=2 \frac{1}{3} \) b. \( x=4 \frac{1}{5} \) c. \( x=\frac{7}{6} \) c. \( 125 \% \) (From Unit 3 , Lesson 11. ) b. \( 75 \% \) (From Unit 4 , Lesson 13 .) 7. Lin needs to save up \( \$ 20 \) for a new game. How much money does she have if she has saved each percentage of her goal. Explain your reasoning. a. \( 25 \% \)

To find \( y \) given the area \( A = xy = 14 \) square units, you can rearrange the equation to \( y = \frac{14}{x} \). For part a, if \( x = 2 \frac{1}{3} \) (or \( \frac{7}{3} \)), then \( y = \frac{14}{\frac{7}{3}} = 6 \). For part b, with \( x = 4 \frac{1}{5} \) (or \( \frac{21}{5} \)), you'll find \( y = \frac{14}{\frac{21}{5}} = \frac{70}{21} \approx 3.33 \). For part c, with \( x = \frac{7}{6} \), the calculation gives \( y = \frac{14}{\frac{7}{6}} = 12 \). Part d requests your value when \( x = 125\% \) of a unit, which is equivalent to \( 1.25 \). So, \( y = \frac{14}{1.25} = 11.2 \). Lastly, for Lin, if she needs to save $20 and has saved \( 25\% \) of that, she would have saved \( 0.25 \times 20 = 5 \) dollars. Keep saving, Lin, you're on your way to that game!