Question

The temperature of a solution is monitored for 10 minutes. The initial temperature of the solution is 100ºF, and declines exponentially at a decay rate of 20% each minute for 3 minutes. The temperature then drops 5ºF each minute for the next 5 minutes. The temperature does not change for the remainder of the time it is monitored.

A piecewise function is written that models the temperature of the solution x minutes after monitoring begins.

A graph of the function is drawn.

What features does the graph have?

Drag and drop the choices to the correct locations.

(2 points)
The graph is . There are closed circles at and . The first branch of the graph meets the second branch at . The second branch of the graph meets the third branch at .

Answer 1

The graph is decreasing. There are closed circles at (0, 100) and (10, 26.2). The first branch of the graph meets the second branch at (3, 51.2). The second branch of the graph meets the third branch at (8, 26.2).