The graph shows a set of points that appear to decrease as $x$ increases, suggesting a possible inverse or negative linear relationship. To find the ratio, we need to identify a pattern between the $x$ and $y$ values of the plotted points.

Let's extract the coordinates of the points from the graph:

1. $(1, 60)$
2. $(2, 45)$
3. $(3, 30)$
4. $(4, 20)$
5. $(5, 10)$
6. $(6, 5)$

To find a ratio, we can look for a consistent pattern in the data. One way to find the ratio is to look at the ratio of consecutive $y$-values to their corresponding $x$-values:

• For $x = 1$ to $x = 2$: Ratio $= \frac{y_2}{y_1} = \frac{45}{60} = \frac{3}{4}$
• For $x = 2$ to $x = 3$: Ratio $= \frac{y_3}{y_2} = \frac{30}{45} = \frac{2}{3}$
• For $x = 3$ to $x = 4$: Ratio $= \frac{y_4}{y_3} = \frac{20}{30} = \frac{2}{3}$
• For $x = 4$ to $x = 5$: Ratio $= \frac{y_5}{y_4} = \frac{10}{20} = \frac{1}{2}$
• For $x = 5$ to $x = 6$: Ratio $= \frac{y_6}{y_5} = \frac{5}{10} = \frac{1}{2}$

It seems the ratios between successive $y$-values vary, but there is a pattern in how they change. If you were looking for a constant ratio, this set of points does not have one. However, if you consider the rate of decrease in the $y$-values concerning their corresponding $x$-values, it appears that $y$ generally decreases as $x$ increases, often by a multiplicative or additive factor.

Would you like a more detailed explanation of a specific aspect of this graph, or do you have any questions about this analysis?

Relative Questions:

1. What kind of mathematical relationship (linear, exponential, etc.) does this graph suggest?
2. How would you model this data using a mathematical equation?
3. Could this graph represent a real-world phenomenon? If so, what might it be?
4. What happens to the ratio as $x$ increases further?
5. How would the graph look if the trend continued indefinitely?

Tip:

When analyzing graphs, always try to identify the mathematical relationship between variables. This could involve ratios, slopes, or other patterns in the data.