Determine if the tables and graphs below express a direct variation between the varia If they do, find the constant of variation and an equation that defines the relation. 1. 2. 3. 4. X y X y X y X y 1 -3 7 3 2 2 -6 1 -15 10 -20 25 -3 2 -4 5 3 4 -9 14 -21 -28 6 -9 -12 3 -12 2 4 5 3 4

Question

Determine if the tables and graphs below express a direct variation between the varia If they do, find the constant of variation and an equation that defines the relation. 1. 2. 3. 4. X y X y X y X y 1 -3 7 3 2 2 -6 1 -15 10 -20 25 -3 2 -4 5 3 4 -9 14 -21 -28 6 -9 -12 3 -12 2 4 5 3 4​

gianwillmorebeltran0 · Answer

Answer:Let's analyze each set of data to determine if they express direct variation and find the constant of variation ($k$) and the equation for the relation.1. **Data Set 1 (X, Y):**   - Direct Variation: No   - Equation: Not applicable (no direct variation)2. **Data Set 2 (X, Y):**   - Direct Variation: Yes   - Constant of Variation ($k$): $3$   - Equation: $Y = 3X$3. **Data Set 3 (X, Y):**   - Direct Variation: No   - Equation: Not applicable (no direct variation)4. **Data Set 4 (X, Y):**   - Direct Variation: Yes   - Constant of Variation ($k$): $-3$   - Equation: $Y = -3X$In summary:- Data Sets 2 and 4 express direct variation.- The equations for these direct variations are $Y = 3X$ and $Y = -3X$, respectively.- Data Sets 1 and 3 do not show direct variation.

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Determine If The Tables And Graphs Below Express A Direct Variation Between The Varia…

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