Question
Suppose the function \( f(t) \) represents the temperature of a potato in degrees Fahrenheit \( t \) minutes after you placed it in an oven to bake. Explain what \( f(0)=65 \) would mean in everyday language. When you placed the potato in the oven its temperature was 65 degrees Fahrenheit. The temperature of the oven is 65 degrees Fahrenheit. The potato will be done baking in 65 minutes.
Ask by French Schmidt. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When you placed the potato in the oven, its temperature was 65 degrees Fahrenheit.
Solution
1. The notation \( f(t) \) represents the temperature of the potato \( t \) minutes after it was placed in the oven.
2. When we write \( f(0)=65 \), it means that at \( t=0 \) minutes—the moment the potato is placed in the oven—the temperature of the potato is 65 degrees Fahrenheit.
3. Thus, in everyday language, \( f(0)=65 \) indicates that when you placed the potato in the oven, its temperature was 65 degrees Fahrenheit.
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Simplify this solution The Deep Dive
When you placed the potato in the oven, its temperature was 65 degrees Fahrenheit. This is like saying, "Before the baking starts, our potato is nice and cool at room temperature!" It helps us understand where we’re starting from in this baking adventure. Now, as you might imagine, the temperature will rise from that initial point as the potato bakes in the warmth of the oven. It’s a thrilling journey from cold to hot, and it’s all about how the heat transforms our spud into a delicious meal!
