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Adam is preheating his oven before using it to bake. Adam wants to predict the final temperature after minutes. He wrote the equation , where represents the final temperature in degrees Fahrenheit. What could the number in Adam's equation represent?The time when the oven's temperature is .The change in minutes for every change of one degree Fahrenheit.The temperature the oven starts at.The change in degrees Fahrenheit for every change of one minute.
Full solution
Q. Adam is preheating his oven before using it to bake. Adam wants to predict the final temperature after minutes. He wrote the equation , where represents the final temperature in degrees Fahrenheit. What could the number in Adam's equation represent?The time when the oven's temperature is .The change in minutes for every change of one degree Fahrenheit.The temperature the oven starts at.The change in degrees Fahrenheit for every change of one minute.
- Equation Analysis: Adam's equation is , where represents the final temperature in degrees Fahrenheit after minutes of preheating the oven. To understand what the number represents, we need to analyze the equation of a straight line, which is generally given by , where is the slope and is the y-intercept. In the context of this problem, the slope () would represent the rate of change of temperature per minute, and the y-intercept () would be the starting temperature of the oven before preheating begins.
- Slope and Y-Intercept: By comparing Adam's equation to the general form of a straight line, we can see that the number is the slope (), which means the oven's temperature increases by degrees Fahrenheit for every minute. The number is the y-intercept (), which means it is the value of when is . In the context of this problem, when (time in minutes) is , would represent the initial temperature of the oven. Therefore, the number represents the temperature the oven starts at before preheating.
