Question

Quinn returned home one summer day to find it’s wet and really hot. He turned on the air conditioner and fell asleep. The room temperature decreased by 0.5 degrees Celsius each minute, and Quinn looked up 60 minutes later when it was 10 degrees Celsius. Graph the relationship between the room temperature in degrees Celsius and time in minutes. Options: Option 1: Linear Option 2: Exponential Option 3: Parabolic Option 4: Inverse Square

Answer 1

The relationship between the room's temperature and time as it decreases by 0.5 degrees Celsius every minute is a linear one. The graph of this can be set up with time in minutes as the x-axis and temperature in degrees Celsius as the y-axis. At time 0, the temperature would have been 40 degrees Celsius. Hence, the correct answer is Option 1: Linear

Step-by-step explanation:

The relationship between the room's temperature in degrees Celsius and time in minutes can be represented by a linear graph. This is because the rate of change is constant, as the temperature decreased by a fixed amount (0.5 degrees Celsius) each minute. Since the rate of change is the same throughout the scenario, it is a linear relationship. To graph this relationship, we can set up a coordinate system where the x-axis represents time in minutes and the y-axis represents the temperature in degrees Celsius. At time 0, the temperature would be 10 degrees Celsius + (0.5 degrees/minute * 60 minutes) = 40 degrees Celsius. For every minute that passes, the temperature decreases by 0.5 degrees Celsius.

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