To determine whether the temperature of Priscilla's oven (y) is a function of the time since she started baking (x), we need to check if for each input value of x (time), there is only one corresponding output value of y (temperature).
From the graph's provided information:
- If every unique time (x-axis value, representing time in minutes) corresponds to a unique temperature (y-axis value), then we can conclude that the temperature is a function of time.
- If there are instances where the same time (x value) corresponds to multiple temperatures (y values), then we cannot consider temperature to be a function of time in this case.
Assuming the typical behavior of an oven during the baking process:
- Typically, the temperature would either remain constant or change in a predictable manner (such as increasing or plateauing) as time progresses.
- It would not have multiple temperatures for the same time value.
Based on this reasoning, if the graph shows that for each minute (x), there is a single temperature reading (y), then we can state:
The temperature is a function of time because for each value of time (x), there is a single corresponding temperature (y).
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