1. Use the table of values to answer Parts A and B.\begin{tabular}{|c|c|c|c|c|c|}\hline x & 2 & 4 & 8 & 14 & 18 \\\hline y & 5 & 10 & 20 & 35 & 45 \\\hline\end{tabular}Part AGraph the ordered pairs on the coordinate plane and draw the line that passes through them.Part BDoes the graph represent a proportional relationship? Select the correct choices to complete a true statement.The relationship □ is□ is notproportional because the graph □ isis not a straight line thatpasses through the origin.
Q. 1. Use the table of values to answer Parts A and B.\begin{tabular}{|c|c|c|c|c|c|}\hline x & 2 & 4 & 8 & 14 & 18 \\\hline y & 5 & 10 & 20 & 35 & 45 \\\hline\end{tabular}Part AGraph the ordered pairs on the coordinate plane and draw the line that passes through them.Part BDoes the graph represent a proportional relationship? Select the correct choices to complete a true statement.The relationship □ is□ is notproportional because the graph □ isis not a straight line thatpasses through the origin.
Plot points on plane: Plot the points (2,5), (4,10), (8,20), (14,35), and (18,45) on the coordinate plane.
Draw line through points: Draw a line through the plotted points to see if they align in a straight line.
Check line through origin: Check if the line passes through the origin (0,0).
Examine ratios for constancy: Examine the ratios of y to x for each pair to see if they are constant: 25, 410, 820, 1435, 1845. Simplify each ratio: 2.5, 2.5, 2.5, 2.5, 2.5.
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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