A newborn kitten weighs 3 ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?

Question

A.
The kitten's age and weight are not in a proportional relationship because the weight of the kitten increases over time.
B.
The kitten's age and weight are not in a proportional relationship because the difference in the weight of the kitten after four weeks is 10 ounces.
C.
The kitten's age and weight are not in a proportional relationship because the kitten does not weigh zero ounces at birth.
D.
The kitten's age and weight are not in a proportional relationship because the weight of the kitten increases by

Answer 1

To determine which statement is true regarding the relationship between the kitten's age and weight, we first need to define the concept of proportional relationships. In a proportional relationship, two quantities maintain a constant ratio.

1. At birth (0 weeks), the kitten weighs 3 ounces.
2. After 4 weeks, the kitten weighs 13 ounces.

To check if the weight is proportional to age, we can look at the ratios:

• At birth (0 weeks), the kitten is 3 ounces.
• After 4 weeks:
  • Weight difference: 13 ounces - 3 ounces = 10 ounces.
  • The ratio of weight to age would not be constant, as it changes from 3 ounces at birth to 13 ounces after four weeks.

Now let's evaluate each option:

A. This statement suggests the weight increases over time negates proportionality; however, increasing weight does not necessarily mean they are not proportional.

B. The difference in the weight being 10 ounces does not itself indicate a lack of proportionality but only describes a change in the weight.

C. The statement mentions the kitten not weighing zero ounces at birth does not provide a basis for proportionality, as proportional relationships are about constant ratios, not starting points.

D. This statement is incomplete, but if it suggested that the kitten's weight does not increase proportionally by consistent intervals, it would be more relevant.

After analysis, it can be concluded that none of the provided statements accurately describes why the kitten's weight and age are not in a proportional relationship. However, if option D were to state more about the increases not being constant (for example, they don't maintain a constant ratio like 3:1), it could potentially be true.

Considering the statements as they stand, none of the given options appears to fully or accurately justify the lack of proportionality. If forced to choose from the options provided, option A might loosely fit the context, as it critiques the nature of increase but contains misleading reasoning. However, keep in mind that weight increasing does not automatically mean a failure of proportionality; it depends on whether it does so at a consistent rate (which it does not in this case).