Final answer:
The query about the growth ratio of cats in Kitten Town lacks specific details to accurately calculate the annual growth ratio. If growth is linear and over one year, the ratio is 3, but for compound growth, the number of years of growth is required to calculate the ratio.
Step-by-step explanation:
The question asks for the ratio of change of cats in Kitten Town from January 1, 2010, to January 1, 2011. Given that we start with 30 cats and end up with 90 cats over a duration that is not specified, we can infer that the number of cats triples over this period. However, since we need to understand the growth each year, we need more information about how many years it takes to go from 30 to 90 cats to provide a precise ratio of change for one year.
To clarify, if the growth is linear, the change each year would be a constant number of cats. But if it's compound growth, where the growth rate is constant, the number of cats each year would grow by a fixed ratio, not a fixed number. Since the question describes Kitten Town's growth as increasing by the same amount each year (which implies linear growth rather than compound), but also asks for a 'constant ratio of change', there seems to be a contradiction.
Assuming linear growth, the number of cats increases by 60 cats over the unspecified time period. If this period is one year, the ratio will be 3 (90 cats after / 30 cats before), but without specific details regarding the duration, we cannot provide the annual growth ratio. For compound growth, more details are needed to establish the fixed ratio, such as the exact number of years for the change from 30 to 90.