Question

the daily high temperature at a certain point in a river is modeled by the graph. each point on a vertical grid - line indicates the temperature, in degrees celsius, on the first day of the indicated month. of the following, on the first day of which month is the rate of change of the temperature the greatest? a february b may c august d november

Explanation:

Step1: Recall rate - of - change concept

The rate of change of a function on a graph is given by the slope of the tangent line to the graph at a point.

Step2: Analyze slopes at given months

Examine the slopes of the graph at the first - day points of February, May, August, and November. The steeper the slope of the graph at a point, the greater the rate of change.

Step3: Compare slopes

The slope of the graph is steepest at the first - day point of November compared to the other given months.

Answer:

D. November