Alice studies the relationship between climate and heart disease around the world. H(t) models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is t degrees Celsius. According to Alice's model, when the temperature is -5^(@)C (which is the lowest temperature included in the model), the probability is 10% above average. Then the probability decreases until the temperature reaches 30^(@)C (which is the highest temperature included in the model), where the probability is 20% below average. Which number type is more appropriate for the domain of H ? Choose 1 answer: (A) Integers (B) Real numbers

Question

Alice studies the relationship between climate and heart disease around the world.  H(t) models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is  t degrees Celsius. According to Alice's model, when the temperature is  -5^(@)C (which is the lowest temperature included in the model), the probability is  10% above average. Then the probability decreases until the temperature reaches  30^(@)C (which is the highest temperature included in the model), where the probability is  20% below average. Which number type is more appropriate for the domain of  H ? Choose 1 answer: (A) Integers (B) Real numbers

Bytelearn · Accepted Answer

Understand Function Domain: Understand the domain of the function H(t). The domain of a function is the set of all possible input values (in this case, temperatures t) for which the function is defined. Since we are dealing with temperatures, which can vary continuously and include fractions of degrees, we need to decide whether the temperatures can only be whole numbers (integers) or any number including fractions (real numbers).Analyze Temperature Range: Analyze the given temperature range. The temperature range given in the problem is from -5 degrees Celsius to 30 degrees Celsius. This range includes not only whole numbers but also the possibility of temperatures that are not whole numbers, such as 17.5 degrees Celsius or -3.2 degrees Celsius.Determine Number Type: Determine the appropriate number type for the domain. Since temperatures can be fractional and do not have to be whole numbers, the domain of H(t) should include all real numbers within the given range. Therefore, the appropriate number type for the domain of H is real numbers, not just integers.

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