Answer :
Certainly! Let's break down what the inequality [tex]\( f(35) < 115 \)[/tex] tells us about the situation described:
1. Understanding the Function:
- The function [tex]\( f(x) \)[/tex] represents the temperature of the pie in degrees Fahrenheit, [tex]\( x \)[/tex] minutes after it has been removed from the oven.
2. Analyzing the Inequality:
- The specific inequality given is [tex]\( f(35) < 115 \)[/tex].
- This means that if you substitute 35 for [tex]\( x \)[/tex] in the function [tex]\( f(x) \)[/tex], the resulting value is less than 115.
3. Interpretation:
- At 35 minutes after the pie has been taken out of the oven, the temperature of the pie is less than 115 degrees Fahrenheit.
- This tells us that as time progresses, the pie is cooling down, and by the time it reaches 35 minutes, it has cooled to below 115 degrees.
4. Conclusion:
- Therefore, the inequality [tex]\( f(35) < 115 \)[/tex] provides information about the cooling process of the pie, indicating that after 35 minutes, it is at a temperature below 115 degrees Fahrenheit. This can be useful if you have a target temperature you're waiting for or if you want to ensure the pie is safe to handle or consume.
In summary, [tex]\( f(35) < 115 \)[/tex] informs us that the pie's temperature 35 minutes after being out of the oven is cooler than 115 degrees Fahrenheit.
1. Understanding the Function:
- The function [tex]\( f(x) \)[/tex] represents the temperature of the pie in degrees Fahrenheit, [tex]\( x \)[/tex] minutes after it has been removed from the oven.
2. Analyzing the Inequality:
- The specific inequality given is [tex]\( f(35) < 115 \)[/tex].
- This means that if you substitute 35 for [tex]\( x \)[/tex] in the function [tex]\( f(x) \)[/tex], the resulting value is less than 115.
3. Interpretation:
- At 35 minutes after the pie has been taken out of the oven, the temperature of the pie is less than 115 degrees Fahrenheit.
- This tells us that as time progresses, the pie is cooling down, and by the time it reaches 35 minutes, it has cooled to below 115 degrees.
4. Conclusion:
- Therefore, the inequality [tex]\( f(35) < 115 \)[/tex] provides information about the cooling process of the pie, indicating that after 35 minutes, it is at a temperature below 115 degrees Fahrenheit. This can be useful if you have a target temperature you're waiting for or if you want to ensure the pie is safe to handle or consume.
In summary, [tex]\( f(35) < 115 \)[/tex] informs us that the pie's temperature 35 minutes after being out of the oven is cooler than 115 degrees Fahrenheit.
