the graph shows the temperature of a liquid that is being heated during an experiment. three of the…

Answer:

The statement "At this rate, the temperature will rise 60° in a quarter - hour" is not true.

Explanation:

Step1: Calculate the unit rate

The graph has a point (8.5, 28). The unit rate (slope) $m=\frac{\Delta y}{\Delta x}$. Assuming the starting point is (0,0), $m = \frac{28}{8.5}\approx3.29$ degrees per minute.

Step2: Analyze each statement

• "The temperature of the liquid is increasing at a constant rate": Since the graph is a straight - line, the rate of change is constant. True.
• "The temperature of the liquid changed at a unit rate of 4° per minute": The calculated unit rate is approximately 3.29° per minute, not 4° per minute. False.
• "At this rate, it would take less than 10 minutes for the temperature of the liquid to rise 52°": If the rate is approximately 3.29° per minute, then the time $t=\frac{52}{3.29}\approx15.8$ minutes. False.
• "At this rate, the temperature will rise 60° in a quarter - hour (15 minutes)": If the rate is approximately 3.29° per minute, in 15 minutes, the temperature rise is $3.29\times15 = 49.35$ degrees, not 60 degrees. False. But we need to pick one non - true statement among them. The most straightforward non - true statement is "At this rate, the temperature will rise 60° in a quarter - hour" as it is a clear miscalculation based on the rate we found.