1.On the package of candy coated chocolates it states the box contains 147 grams. In reality, the mass can vary between 145 g and 150 g. You may find between 63 and 69 pieces of candy in any given box. Explain which variable represents the domain and range. State the domain and the range using set (list) notation.
2. Consider whether the data provided in Question #1 is discrete or continuous. For example, could you have 64½ pieces of candy/could the package be found to weigh 148.3
grams or 148.37 grams? On this basis, does it seem more reasonable to state the domain using set notation or interval notation? What about the range?
1. In this case, the variable that represents the domain is the number of pieces of candy, while the variable that represents the range is the mass of the candy.
The domain represents the set of possible values for the number of candy pieces in the box. Based on the given information, the domain can range from 63 to 69, as the number of pieces can vary between these values.
The range represents the set of possible values for the mass of the candy. According to the information provided, the mass can vary between 145g and 150g, so the range can be expressed as {145, 146, 147, 148, 149, 150}.
Therefore, using set notation, the domain can be represented as D = {63, 64, 65, 66, 67, 68, 69} and the range as R = {145, 146, 147, 148, 149, 150}.
2. The data provided in question #1 is discrete because it deals with countable values such as the number of candy pieces and the mass. The number of pieces cannot be a fraction or half, and the mass is given as whole number values. Therefore, it is not possible to have 64½ pieces of candy or for the package to weigh 148.3 or 148.37 grams.
Given that the data is discrete, it is more reasonable to state the domain using set notation, as the possible values can be clearly listed. The range can also be stated using set notation since it involves specific values within a given range.