Questions: The height y (in centimeters) of a plant x days after it sprouts can be described by the equation y=2x. Use this equation to complete the table of values. x y ------ 0 7 14 21 28

The height y (in centimeters) of a plant x days after it sprouts can be described by the equation y=2x.
Use this equation to complete the table of values.

x y
------
0
7
14
21
28

Transcript text: The height $y$ (in centimeters) of a plant $x$ days after it sprouts can be described by the equation $y=2 x$. Use this equation to complete the table of values. \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & $\square$ \\ \hline 7 & $\square$ \\ \hline 14 & $\square$ \\ \hline 21 & $\square$ \\ \hline 28 & $\square$ \\ \hline \end{tabular}

Solution

Solution Steps

To complete the table of values, we need to use the given equation $ y = 2x $ to calculate the height $ y $ for each given day $ x $. We will substitute each value of $ x $ into the equation to find the corresponding $ y $.

Step 1: Calculate Heights

Using the equation $ y = 2x $, we can calculate the height $ y $ of the plant for each given day $ x $:

For $ x = 0 $: \[ y = 2 \cdot 0 = 0 \]
For $ x = 7 $: \[ y = 2 \cdot 7 = 14 \]
For $ x = 14 $: \[ y = 2 \cdot 14 = 28 \]
For $ x = 21 $: \[ y = 2 \cdot 21 = 42 \]
For $ x = 28 $: \[ y = 2 \cdot 28 = 56 \]

Step 2: Compile Results

The calculated values of $ y $ corresponding to each $ x $ are as follows:

$ (0, 0) $
$ (7, 14) $
$ (14, 28) $
$ (21, 42) $
$ (28, 56) $

Final Answer

The completed table of values is: \[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ \hline 7 & 14 \\ \hline 14 & 28 \\ \hline 21 & 42 \\ \hline 28 & 56 \\ \hline \end{array} \] Thus, the final answer is: \[ \boxed{(0, 0), (7, 14), (14, 28), (21, 42), (28, 56)} \]

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