Question

one spring day, lydia noted the time of day and the temperature, in degrees fahrenheit. during that time, the temperature rose, stayed steady, and fell, at different rates. on the set of axes below, lydia created a graph of temperature over time.

Explanation:

Step1: Analyze the Graph Segments

The graph has three main segments: a rising segment (temperature increasing over time), a horizontal segment (temperature steady), and a falling segment (temperature decreasing over time). We can interpret the rate of change (slope) for each segment.

Step2: Identify the Steepest Segment

To find the steepest rate, we compare the slopes. The first rising segment (from start to the first peak) has a steeper slope than the other rising/falling parts. The horizontal segment has a slope of 0. The falling segments have negative slopes, but the first rise is steeper (greater absolute slope) than the falls.

Answer:

The steepest rate of temperature change (either rise or fall) occurs during the initial rising segment (the first part of the graph where temperature increases rapidly over time).