Questions: SPOOKY POTION Story A recipe calls for 1/2 cup of slime for every 2 cups of worms. x = cups of worms y = cups of slime Graph Potion Cups of Slime 6 5 4 3 2 1 0 0 1 2 3 4 5 6 Cups of Worms Table y x 1/6 1/3 1/2 2/3 5/6 1 y x 0 1/4 1/2 3/4 1 5/4 3/2 Constant of Proportionality: Equation: Dependent Variable: Independent Variable:

SPOOKY POTION Story A recipe calls for 1/2 cup of slime for every 2 cups of worms. x = cups of worms y = cups of slime Graph Potion Cups of Slime 6 5 4 3 2 1 0 0 1 2 3 4 5 6 Cups of Worms Table y x 1/6 1/3 1/2 2/3 5/6 1 y x 0 1/4 1/2 3/4 1 5/4 3/2 Constant of Proportionality: Equation: Dependent Variable: Independent Variable:
Transcript text: SPOOKY POTION Story A recipe calls for $\frac{1}{2}$ cup of slime for every 2 cups of worms. x = cups of worms y = cups of slime Graph Potion Cups of Slime 6 5 4 3 2 1 0 0 1 2 3 4 5 6 Cups of Worms Table y x $\frac{1}{6}$ $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{5}{6}$ 1 y x 0 $\frac{1}{4}$ $\frac{1}{2}$ $\frac{3}{4}$ 1 $\frac{5}{4}$ $\frac{3}{2}$ Constant of Proportionality: Equation: Dependent Variable: Independent Variable:
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Solution

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Solution Steps

Step 1: Identify the Variables
  • Independent Variable (X): Cups of Worms
  • Dependent Variable (Y): Cups of Slime
Step 2: Fill in the Table
  • The table provided shows the relationship between the cups of worms (X) and the cups of slime (Y).

| X (Cups of Worms) | Y (Cups of Slime) | |-------------------|-------------------| | 0 | 0 | | 1 | 5 | | 2 | 10 | | 3 | 15 | | 4 | 20 | | 5 | 25 |

Step 3: Determine the Constant of Proportionality
  • The constant of proportionality (k) can be found using the formula \( Y = kX \).
  • From the table, when \( X = 1 \), \( Y = 5 \).
  • Therefore, \( k = \frac{Y}{X} = \frac{5}{1} = 5 \).

Final Answer

  • Equation: \( Y = 5X \)
  • Constant of Proportionality: 5
  • Independent Variable: Cups of Worms
  • Dependent Variable: Cups of Slime
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