To determine which graph most suitably represents the data, we need to follow a detailed analysis of the information given:
1. Understanding the Data:
- The table shows two key pieces of information for each planet: the gravity relative to Earth's gravity (Earth = 1) and the height jumped by a person on that planet (in centimeters) if they can jump 1 meter (100 cm) on Earth.
- For instance, on Mercury, gravity is 0.38 times that of Earth, and a person can jump 263 cm.
2. Data Summary:
[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Planet} & \text{Gravity} & \text{Height Jumped (cm)}\\
\hline
\text{Mercury} & 0.38 & 263 \\
\text{Venus} & 0.88 & 114 \\
\text{Earth} & 1.00 & 100 \\
\text{Jupiter} & 2.64 & 38 \\
\text{Saturn} & 1.15 & 87 \\
\text{Uranus} & 1.17 & 85 \\
\text{Neptune} & 1.20 & 83 \\
\hline
\end{array}
\][/tex]
3. Graph Type:
- Since we are comparing two different variables (gravity and height jumped) for multiple categories (planets), a bar graph is a suitable choice because it allows us to visually compare the different magnitudes.
4. Creating a Suitable Graph:
- We will create two separate bar graphs to represent each variable.
- The first graph will show the gravity of each planet relative to Earth.
- The second graph will show the height a person can jump on each planet.
5. Graph Analysis and Layout:
- First Graph:
- Title: 'Gravity on Different Planets Relative to Earth'.
- x-axis: Planets (Categories).
- y-axis: Gravity relative to Earth (Numerical values).
- Bar Color: Blue for gravity values.
- Second Graph:
- Title: 'Height Jumped on Different Planets'.
- x-axis: Planets (Categories).
- y-axis: Height Jumped in cm (Numerical values).
- Bar Color: Green for height jumped values.
6. Conclusion:
- Constructing two separate bar graphs in the described layout helps in easily comparing the gravity and jump height across different planets.
- If we see the actual graphs that match these specifications, we can identify which graph represents the data most suitably.
In summary:
- We need two bar graphs: one for 'Gravity on Different Planets Relative to Earth' and the other for 'Height Jumped on Different Planets'.
- The graphs should have planets on the x-axis and corresponding values (gravity or height jumped) on the y-axis.
- Look for blue bars in the gravity graph and green bars in the height jumped graph.
With these steps, you should be able to identify the correct graphical representation from the options provided.
