Question

when two quantities are always in an equivalent ratio, they have whats called a proportional relationship. here are two more tables. which of these two tables represents a proportional relationship? circle one. table 1 table 2 both neither explain your thinking. table 1: weight (oz) 3 7 9 30, number of balloons 6 10 12 33. table 2: weight (oz) 1 5 42 8, number of balloons 12 18 126 24.

Explanation:

Step1: Calculate ratios for Table 1

For the first row of Table 1, the ratio of weight to number of balloons is $\frac{3}{6}=\frac{1}{2}$. For the second row, $\frac{7}{10} = 0.7$. Since $\frac{1}{2}
eq0.7$, Table 1 does not have a constant ratio.

Step2: Calculate ratios for Table 2

For the first row of Table 2, the ratio of weight to number of balloons is $\frac{4}{12}=\frac{1}{3}$. For the second row, $\frac{6}{18}=\frac{1}{3}$, for the third row $\frac{42}{126}=\frac{1}{3}$, and for the fourth row $\frac{8}{24}=\frac{1}{3}$. The ratio is constant in Table 2.

Answer:

Table 2