how much applesauce it takes 4 pounds of apples to make 6 cups of applesauce at this rate how much applesauce can you make with 7 lb of apples 10 pounds of apples and we also have a chart of Apple pounds and applesauce in cups

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[tex]\begin{gathered} \text{First point (4,6)} \\ \text{rate =}\frac{6}{4}=\frac{3}{2} \\ \\ \text{rate =}\frac{3}{2} \\ \\ y=\frac{3}{2}x \\ x=\text{ pounds of apples} \\ y=\text{ cups of applesauce} \\ \\ for\text{ 7 pounds of apples:} \\ y=\frac{3}{2}\cdot(7) \\ y=\frac{21}{2} \\ y=10.5 \\ \text{with 7 pounds of apples you can make 10.5 cups of applesauce.} \\ \\ for\text{ 10 pounds of apples:} \\ y=\frac{3}{2}\cdot(10) \\ y=\frac{30}{2} \\ y=15 \\ \text{with 10 pounds of apples you can make 15 cups of applesauce.} \\ \\ \text{when the applesauce is known:} \\ y=\frac{3}{2}x \\ \\ 2y=\text{ 3x} \\ x=\frac{2}{3}y \\ \text{when the cups of applesauce is known you have to use the function }x=\frac{2}{3}y \\ for\text{ 9 cups of applesauce} \\ x=\frac{2}{3}(9) \\ x=\text{ 6} \\ for\text{making 9 cups of applesauce it n}eeds\text{ 6 pounds of apple} \\ \\ for\text{ 20 cups of applesauce} \\ x=\frac{2}{3}(20) \\ x=13.3 \\ for\text{making 20 cups of applesauce it n}eeds\text{ 13.3 pounds of apple} \end{gathered}[/tex]