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or each table, determine whether it shows that 
x and 
y are proportional.

x and 
y are proportional, fill in the blank with a number in simplest form.




Table 1
Table 2



x
15
36
63
96

x
15
30
45
60



y
3
6
9
12

y
6
12
18
24


Proportional
Proportional



y is 
◻ times 
x

y is 
◻ times 
x


Not proportional
Not proportional

or each table, determine whether it shows that x x and y y are proportional.\newlinex x and y y are proportional, fill in the blank with a number in simplest form.\newline\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}\newline\hline \multicolumn{55}{|c|}{ Table 11} & \multicolumn{55}{|c|}{ Table 22} \\\newline\hlinex x & 1515 & 3636 & 6363 & 9696 & x x & 1515 & 3030 & 4545 & 6060 \\\newline\hliney y & 33 & 66 & 99 & 1212 & y y & 66 & 1212 & 1818 & 2424 \\\newline\hline \multicolumn{55}{|c|}{ Proportional } & \multicolumn{55}{|c|}{ Proportional } \\\newline\hline \multicolumn{55}{|c|}{y y is \square times x x } & \multicolumn{55}{|c|}{y y is \square times x x } \\\newline\hline \multicolumn{55}{|c|}{ Not proportional } & \multicolumn{55}{|c|}{ Not proportional } \\\newline\hline\newline\end{tabular}

Full solution

Q. or each table, determine whether it shows that x x and y y are proportional.\newlinex x and y y are proportional, fill in the blank with a number in simplest form.\newline\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}\newline\hline \multicolumn{55}{|c|}{ Table 11} & \multicolumn{55}{|c|}{ Table 22} \\\newline\hlinex x & 1515 & 3636 & 6363 & 9696 & x x & 1515 & 3030 & 4545 & 6060 \\\newline\hliney y & 33 & 66 & 99 & 1212 & y y & 66 & 1212 & 1818 & 2424 \\\newline\hline \multicolumn{55}{|c|}{ Proportional } & \multicolumn{55}{|c|}{ Proportional } \\\newline\hline \multicolumn{55}{|c|}{y y is \square times x x } & \multicolumn{55}{|c|}{y y is \square times x x } \\\newline\hline \multicolumn{55}{|c|}{ Not proportional } & \multicolumn{55}{|c|}{ Not proportional } \\\newline\hline\newline\end{tabular}
  1. Check Ratio for Table 11: For Table 11, check if the ratio of yy to xx is constant.yx\frac{y}{x} for the first pair (15,3)(15, 3) is 315=15\frac{3}{15} = \frac{1}{5}.
  2. Calculate y/xy/x for first pair: Check the second pair (36,6)(36, 6) for the same ratio: 636=16\frac{6}{36} = \frac{1}{6}. Oops, that's not the same as 15\frac{1}{5}.

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