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The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.It takes seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of meters.The highest place possible is the summit of Mount Everest which has an altitude of meters. It takes seconds to boil a perfect egg there. models the time (in seconds) it takes to boil a perfect egg at an altitude of meters.Which number type is more appropriate for the domain of ?Choose answer:(A) Integers(B) Real numbers
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Q. The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.It takes seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of meters.The highest place possible is the summit of Mount Everest which has an altitude of meters. It takes seconds to boil a perfect egg there. models the time (in seconds) it takes to boil a perfect egg at an altitude of meters.Which number type is more appropriate for the domain of ?Choose answer:(A) Integers(B) Real numbers
- Understand Problem Context: Understand the context of the problem. We are given two data points for the time it takes to boil an egg at different altitudes: at meters, it takes seconds, and at meters, it takes seconds. We need to determine the appropriate type of number for the domain of the function , which represents the time to boil an egg at altitude .
- Analyze Altitude Variable: Analyze the nature of the altitude variable. Altitude can be any value from below sea level (negative) to the highest point on Earth (positive). Since altitude can vary continuously and does not change in discrete steps, it is not limited to integer values.
- Determine Domain Number Type: Determine the appropriate number type for the domain.Given that altitude can take on any value within a range and is not restricted to whole numbers, the domain of should include all possible altitude values that an egg could be boiled at. Therefore, the domain should be all real numbers within the range of possible altitudes where eggs can be boiled.
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