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. (3 marks)
clearly, the mass depends on the number of candies, which is an easily controlled integer value.
This question is impossible buddy
To determine which variable represents the domain and which represents the range, we first need to understand the definitions of domain and range.
The domain refers to the set of all possible input values of a function or relation. In this case, since we are talking about the number of candy pieces in a box, the number of candy pieces would be the input value, making it the domain.
The range, on the other hand, refers to the set of all possible output values of a function or relation. In this case, since we are talking about the mass of the candy in grams, the mass would be the output value, making it the range.
So, in this scenario:
- Variable representing the domain: Number of candy pieces in a box
- Variable representing the range: Mass of the candy in grams
Now let's determine the domain and range using set notation.
Domain (number of candy pieces):
The given range is between 63 and 69 pieces, so the domain can be represented as:
Domain = {63, 64, 65, 66, 67, 68, 69}
Range (mass of the candy):
The given range is between 145g and 150g, so the range can be represented as:
Range = {145, 146, 147, 148, 149, 150}
Therefore, the domain and range in set notation are:
Domain = {63, 64, 65, 66, 67, 68, 69}
Range = {145, 146, 147, 148, 149, 150}