Question
Complete the ratio table
3 19
6 38
9 __
__ 76
15 __
3 19
6 38
9 __
__ 76
15 __
Answers
GPT-4o mini
To complete the ratio table, we can observe the pattern in the first two columns:
- The first column seems to multiply by 2 to get the second column:
- \(3 \times 2 = 6\) → \(19 \times 2 = 38\)
Continuing this pattern, we can apply those same multipliers to find the missing values:
1. For the third row (where the second column is missing):
\[
9 \to \text{?} \, \text{(multiply the second column by 2)}
\]
\[
9 \times 2 = 18 \text{ (since } 19 \times 2 = 38 \text{)}
\]
2. For the fourth row (where the first column is missing for the second column value of 76):
\[
\text{?} \to 76 \, \text{(divide by 2)}
\]
\[
76 \div 2 = 38
\]
3. For the fifth row (where the second column is missing):
\[
15 \to \text{?}
\]
\[
15 \times 2 = 30 \text{ (multiply 15 by 2)}
\]
Now, filling the values into the table, we get:
\[
\begin{array}{|c|c|}
\hline
3 & 19 \\
6 & 38 \\
9 & 57 \\
38 & 76 \\
15 & 30 \\
\hline
\end{array}
\]
### Completed Ratio Table:
\[
\begin{array}{|c|c|}
\hline
3 & 19 \\
6 & 38 \\
9 & 57 \\
38 & 76 \\
15 & 30 \\
\hline
\end{array}
\]
- The first column seems to multiply by 2 to get the second column:
- \(3 \times 2 = 6\) → \(19 \times 2 = 38\)
Continuing this pattern, we can apply those same multipliers to find the missing values:
1. For the third row (where the second column is missing):
\[
9 \to \text{?} \, \text{(multiply the second column by 2)}
\]
\[
9 \times 2 = 18 \text{ (since } 19 \times 2 = 38 \text{)}
\]
2. For the fourth row (where the first column is missing for the second column value of 76):
\[
\text{?} \to 76 \, \text{(divide by 2)}
\]
\[
76 \div 2 = 38
\]
3. For the fifth row (where the second column is missing):
\[
15 \to \text{?}
\]
\[
15 \times 2 = 30 \text{ (multiply 15 by 2)}
\]
Now, filling the values into the table, we get:
\[
\begin{array}{|c|c|}
\hline
3 & 19 \\
6 & 38 \\
9 & 57 \\
38 & 76 \\
15 & 30 \\
\hline
\end{array}
\]
### Completed Ratio Table:
\[
\begin{array}{|c|c|}
\hline
3 & 19 \\
6 & 38 \\
9 & 57 \\
38 & 76 \\
15 & 30 \\
\hline
\end{array}
\]