The temperature of a substance was recorded over several minutes, as shown in the graph below. The graph displays the linear relationship between the temperature (measured in degrees Celsius) and the number of minutes the substance was being observed.

Question

Temperature Over Time
Temperature (°C)
Time (Minutes)



Which statement best describes the slope of the graph?

Responses
A The temperature is increasing 3.25°C each minute.The temperature is increasing 3.25°C each minute.
B The temperature is increasing 5.25°C each minute.The temperature is increasing 5.25°C each minute.
C The temperature is increasing 1.25°C each minute.The temperature is increasing 1.25°C each minute.
D The temperature is increasing 7.25° C each minute.The temperature is increasing 7.25° C each minute.

Answer 1

To determine the correct answer regarding the slope of the graph, we need to analyze the linear relationship between temperature and time. The slope of the graph represents the change in temperature per unit of time (in this case, per minute).

Here’s how you can find the slope:

1. Identify two points on the line of the graph, ideally where the coordinates are clear (e.g., for example, (x1, y1) and (x2, y2)).

2. Use the slope formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] where \(y\) represents temperature and \(x\) represents time.

3. Substitute the coordinates of the two points into the formula and calculate the slope.

Without seeing the specific graph, I cannot directly calculate the slope. However, given the options provided:

• A: 3.25°C per minute
• B: 5.25°C per minute
• C: 1.25°C per minute
• D: 7.25°C per minute

You would need to perform the calculation based on the points from your graph. Whichever value you calculate should match one of the options to select the best describing statement about the slope.

If you can provide specific information or values from the graph, I'd be happy to help you calculate the slope!