Examkin

Question

Difficulty: EasyTranslating Data Formats

The solubility of oxygen (O2O_2) in water at various temperatures is recorded in the table below:

Water Temperature (°C)Dissolved O2O_2 Solubility (mg/L)
014.6
1011.3
209.1
307.5
406.4

Based on the data table, determine whether the following statement is true or false: A line graph representing these data would feature a line or curve with a negative slope, showing that dissolved oxygen solubility decreases as water temperature increases.

Answer: Answer

Answer

True
The data table displays an inverse relationship between water temperature and dissolved oxygen solubility. When plotted on a coordinate plane with water temperature on the x-axis and dissolved oxygen solubility on the y-axis, the resulting curve trends downward from left to right. This downward trend corresponds to a negative slope, making the statement true.

Step-by-Step Solution

1
Analyze the relationship between the two variables in the table.
As water temperature increases (0→10→20→30→400 \rightarrow 10 \rightarrow 20 \rightarrow 30 \rightarrow 40 °C), the solubility of dissolved oxygen decreases (14.6→11.3→9.1→7.5→6.414.6 \rightarrow 11.3 \rightarrow 9.1 \rightarrow 7.5 \rightarrow 6.4 mg/L).
Understanding the trend in the numerical data is the first step in translating the table to a graphical format.
2
Determine how this relationship translates to a line graph.
An inverse relationship where the dependent variable (yy, solubility) decreases as the independent variable (xx, temperature) increases translates to a line or curve that falls from left to right.
Identifying that a falling line represents a negative slope allows us to evaluate the accuracy of the statement.

Key Concept

Translating tabular data trends into graphical representations, specifically identifying how inverse relationships correspond to negative slopes.
Rate this question

Topics

Translating Data Formats

More questions from this topic