Question

1. 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. temperature over time time (minutes) which statement best describes the slope of the graph? a the temperature is increasing 3.25°c each minute b the temperature is increasing 5.25°c each minute c the temperature is increasing 1.25°c each minute d the temperature is increasing 7.25°c each minute

Explanation:

Step1: Identify two points on the line

From the graph, when \( x = 0 \) (time = 0 minutes), \( y = 2 \) (temperature = \( 2^\circ \text{C} \)). When \( x = 8 \) (time = 8 minutes), \( y = 12 \) (temperature = \( 12^\circ \text{C} \)).

Step2: Calculate the slope

The formula for slope \( m \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Substituting the points \( (0, 2) \) and \( (8, 12) \):
\[
m=\frac{12 - 2}{8 - 0}=\frac{10}{8}=1.25
\]
The slope represents the rate of change of temperature with respect to time, so the temperature is increasing \( 1.25^\circ \text{C} \) each minute.

Answer:

C. The temperature is increasing \( 1.25^\circ \text{C} \) each minute