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Use the table of values to answer Parts A and B.






x
2
4
8
14
18



y
5
10
20
35
45




Part A
Graph the ordered pairs on the coordinate plane and draw the line that passes through them.
Part B
Does the graph represent a proportional relationship? Select the correct choices to complete a true statement.
The relationship 
◻ is

◻ is not
proportional because the graph 
◻ is
is not a straight line that
passes through the origin.

11. Use the table of values to answer Parts A and B.\newline\begin{tabular}{|c|c|c|c|c|c|}\newline\hline x \boldsymbol{x} & 22 & 44 & 88 & 1414 & 1818 \\\newline\hline y \boldsymbol{y} & 55 & 1010 & 2020 & 3535 & 4545 \\\newline\hline\newline\end{tabular}\newlinePart A\newlineGraph the ordered pairs on the coordinate plane and draw the line that passes through them.\newlinePart B\newlineDoes the graph represent a proportional relationship? Select the correct choices to complete a true statement.\newlineThe relationship \square is\newline \square is not\newlineproportional because the graph \square is\newlineis not a straight line that\newlinepasses through the origin.

Full solution

Q. 11. Use the table of values to answer Parts A and B.\newline\begin{tabular}{|c|c|c|c|c|c|}\newline\hline x \boldsymbol{x} & 22 & 44 & 88 & 1414 & 1818 \\\newline\hline y \boldsymbol{y} & 55 & 1010 & 2020 & 3535 & 4545 \\\newline\hline\newline\end{tabular}\newlinePart A\newlineGraph the ordered pairs on the coordinate plane and draw the line that passes through them.\newlinePart B\newlineDoes the graph represent a proportional relationship? Select the correct choices to complete a true statement.\newlineThe relationship \square is\newline \square is not\newlineproportional because the graph \square is\newlineis not a straight line that\newlinepasses through the origin.
  1. Plot points on plane: Plot the points (2,5)(2, 5), (4,10)(4, 10), (8,20)(8, 20), (14,35)(14, 35), and (18,45)(18, 45) on the coordinate plane.
  2. Draw line through points: Draw a line through the plotted points to see if they align in a straight line.
  3. Check line through origin: Check if the line passes through the origin (0,0)(0,0).
  4. Examine ratios for constancy: Examine the ratios of yy to xx for each pair to see if they are constant: 52\frac{5}{2}, 104\frac{10}{4}, 208\frac{20}{8}, 3514\frac{35}{14}, 4518\frac{45}{18}. Simplify each ratio: 2.52.5, 2.52.5, 2.52.5, 2.52.5, 2.52.5.
  5. Confirm proportional relationship: Since all ratios are equal and the line is straight and passes through the origin, the relationship is proportional.

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