Function Table Representation
Published:
(1) $y = 3(x - 2)$
| x | y |
|---|---|
| 2 | 0 |
| 3 | 3 |
| 4 | 6 |
| 5 | 9 |
| 6 | 12 |
This question includes visual content: A handwritten table on lined paper. The equation $y = 3(x - 2)$ is written above the table. The table has two columns labeled 'x' and 'y'. The 'x' column lists integers 2, 3, 4, 5, and 6. The 'y' column lists the calculated values 0, 3, 6, 9, and 12, respectively.
Animated Video Solution
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Step by Step Written Solution
In this video, we'll verify the table of values for the linear equation y equals three times the quantity x minus two.
Equation Verification
Let's write down the equation clearly so we can use it for our calculations.
To verify the table, we'll substitute each value of x into the equation. Let's start with x equals two.
Checking $x = 2$:
Two minus two is zero, and three times zero is zero. So, when x is two, y is zero, which matches the first row of our table.
Now let's check x equals three.
Checking $x = 3$:
Three minus two is one, and three times one is three. This also matches the table.
Let's continue checking the remaining values from the table using the same equation.
Checking $x = 4$:
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