Question

water temperature
at various depths

water depth (meters) | temperature (°c)
50 | 18
75 | 15
100 | 12
150 | 5
200 | 1

1. using information from the data table

construct a bar graph

1. **describe the relationship between

water depth and temperature. (1 pt)**

(grid with temperature (°c) on x - axis (5, 10, 15, 20) and water depth (m) on y - axis)

Explanation:

Sub - question 1: Construct a bar graph

Step 1: Identify the variables

The independent variable (x - axis) is Water Depth (in meters) with values 50, 75, 100, 150, 200. The dependent variable (y - axis) is Temperature (in \(^{\circ}\)C) with values 18, 15, 12, 5, 1.

Step 2: Set up the axes

• Label the x - axis as "Water Depth (m)" and mark the points 50, 75, 100, 150, 200.
• Label the y - axis as "Temperature (\(^{\circ}\)C)" and set the scale. For example, we can have a scale from 0 to 20 with appropriate intervals (e.g., 0, 5, 10, 15, 20).

Step 3: Draw the bars

• For water depth = 50 m, draw a bar with height corresponding to temperature = 18 \(^{\circ}\)C.
• For water depth = 75 m, draw a bar with height corresponding to temperature = 15 \(^{\circ}\)C.
• For water depth = 100 m, draw a bar with height corresponding to temperature = 12 \(^{\circ}\)C.
• For water depth = 150 m, draw a bar with height corresponding to temperature = 5 \(^{\circ}\)C.
• For water depth = 200 m, draw a bar with height corresponding to temperature = 1 \(^{\circ}\)C.

Sub - question 2: Describe the relationship

We analyze the data points: when water depth is 50 m, temperature is 18 \(^{\circ}\)C; at 75 m, 15 \(^{\circ}\)C; at 100 m, 12 \(^{\circ}\)C; at 150 m, 5 \(^{\circ}\)C; at 200 m, 1 \(^{\circ}\)C. As the water depth (the independent variable) increases, the temperature (the dependent variable) decreases. So there is a negative correlation between water depth and temperature.

Answer:

1. The bar graph is constructed with water depth on the x - axis and temperature on the y - axis, with bars of heights 18, 15, 12, 5, 1 for depths 50, 75, 100, 150, 200 meters respectively.
2. There is a negative relationship (as water depth increases, temperature decreases) between water depth and temperature.