table of values:

Question

x: y: yb:
0 3 18
1 6 13 1/2
2 9 9

Answer 1

It looks like you've provided a table with three columns: \( x \), \( y \), and \( yb \). Here’s the table formatted for clarity:

| \( x \) | \( y \) | \( yb \) | |-----------|-----------|----------------| | 0 | 3 | 18 | | 1 | 6 | 13.5 | | 2 | 9 | 9 |

If you have a specific question or need further analysis regarding this table or data, please let me know!

Answer 2

what linear equation does the table represent?

Answer 3

To determine the linear equations represented by the table of values, we can consider the pairs \((x, y)\) and \((x, yb)\) separately.

For \(y\):

1. Points from the table:

   • (0, 3)
   • (1, 6)
   • (2, 9)

2. Finding the slope (\(m\)): Using the formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

   Let's calculate it using the first two points (0, 3) and (1, 6): \[ m = \frac{6 - 3}{1 - 0} = \frac{3}{1} = 3 \]

3. Finding the y-intercept (\(b\)): Using the slope-intercept form \(y = mx + b\). When \(x = 0\), \(y = 3\), which gives us \(b = 3\).

4. Putting it all together: The equation for \(y\) is: \[ y = 3x + 3 \]

For \(yb\):

1. Points from the table:

   • (0, 18)
   • (1, 13.5)
   • (2, 9)

2. Finding the slope (\(m\)): Let's calculate it using the first two points (0, 18) and (1, 13.5): \[ m = \frac{13.5 - 18}{1 - 0} = \frac{-4.5}{1} = -4.5 \]

3. Finding the y-intercept (\(b\)): When \(x = 0\), \(yb = 18\) which gives us \(b = 18\).

4. Putting it all together: The equation for \(yb\) is: \[ yb = -4.5x + 18 \]

Summary of Equations:

• For \(y\): \[ y = 3x + 3 \]

• For \(yb\): \[ yb = -4.5x + 18 \]

These are the linear equations that represent the provided table of values.