To calculate a cat's age in human years, we use different formulas depending on the cat's actual age:
For cats up to 1 year old:
\[ \text{Human Age} = 15 \times \text{Cat Age} \]
For cats between 1 and 2 years old:
\[ \text{Human Age} = 15 + 9 \times (\text{Cat Age} - 1) \]
For cats over 2 years old:
\[ \text{Human Age} = 24 + 4 \times (\text{Cat Age} - 2) \]
Where:
Let's calculate the human age equivalent for a 3-year-old cat:
Since the cat is over 2 years old, we use the third formula:
\[ \text{Human Age} = 24 + 4 \times (\text{Cat Age} - 2) \]
Plugging in the cat's age:
\[ \text{Human Age} = 24 + 4 \times (3 - 2) \]
Simplifying:
\[ \text{Human Age} = 24 + 4 \times 1 = 24 + 4 = 28 \]
Therefore, a 3-year-old cat is approximately 28 years old in human years.
The following diagram illustrates the relationship between cat years and human years:
This visual representation shows how 3 cat years equate to approximately 28 human years, demonstrating the non-linear relationship between cat and human ages.