Bot GPT 4-o mini To plot the missing equivalent ratios based on the table provided, we can identify the relationship between the x-values and y-values.
The ratios given are:
- For \( x = 2 \), \( y = 3 \) → Ratio = \( \frac{2}{3} \)
- For \( x = 4 \), \( y = 6 \) → Ratio = \( \frac{4}{6} = \frac{2}{3} \)
- For \( x = 6 \), \( y = 9 \) → Ratio = \( \frac{6}{9} = \frac{2}{3} \)
- For \( x = 8 \), \( y = 12 \) → Ratio = \( \frac{8}{12} = \frac{2}{3} \)
All these pairs maintain the same ratio of \( \frac{2}{3} \).
To fill in the equivalent ratios, we can calculate some additional values based on this ratio:
- For \( x = 1 \), \( y = 1.5 \) → Ratio = \( \frac{1}{1.5} = \frac{2}{3} \)
- For \( x = 3 \), \( y = 4.5 \) → Ratio = \( \frac{3}{4.5} = \frac{2}{3} \)
- For \( x = 5 \), \( y = 7.5 \) → Ratio = \( \frac{5}{7.5} = \frac{2}{3} \)
- For \( x = 7 \), \( y = 10.5 \) → Ratio = \( \frac{7}{10.5} = \frac{2}{3} \)
- For \( x = 9 \), \( y = 13.5 \) → Ratio = \( \frac{9}{13.5} = \frac{2}{3} \)
Now we can plot these points on the coordinate plane:
- (1, 1.5)
- (3, 4.5)
- (5, 7.5)
- (7, 10.5)
- (9, 13.5)
You can now plot all these points along with the original points on the Cartesian plane.
1 answer