To determine the relationship between the two quantities in the table, we need to analyze the pattern in their changes. Let's write down the data, then proceed with the analysis step-by-step.
The table shows:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Quantity 1} & \text{Quantity 2} \\
\hline
4 & 8 \\
\hline
1 & 30 \\
\hline
2 & 60 \\
\hline
3 & 90 \\
\hline
4 & 120 \\
\hline
\end{array}
\][/tex]
First, we observe the changes in Quantity 2 as Quantity 1 increases. Let's calculate the differences in Quantity 2 for each increment in Quantity 1:
1. [tex]\(30 - 8 = 22\)[/tex]
2. [tex]\(60 - 30 = 30\)[/tex]
3. [tex]\(90 - 60 = 30\)[/tex]
4. [tex]\(120 - 90 = 30\)[/tex]
These differences (22, 30, 30, 30) suggest that starting from the second pair, the second quantity consistently increases by 30 units each time the first quantity increases by 1 unit.
Given these differences, the consistent pattern indicates the relationship between the two quantities is each increase of 1 in Quantity 1 corresponds to an increase of 30 in Quantity 2. Therefore, the relationship between the two quantities is described as "× 30."
### Conclusion
The relationship between the quantities in the given table is [tex]\(\times 30\)[/tex]. This means for each unit increase in the first quantity, the second quantity increases by 30 units incrementally.
