To calculate a dog's age in human years, we use different formulas depending on the dog's actual age and size:
For dogs up to 1 year old:
\[ \text{Human Age} = 15 \]
For dogs between 1 and 2 years old:
\[ \text{Human Age} = 24 \]
For dogs over 2 years old:
\[ \text{Human Age} = 24 + (\text{Dog Age} - 2) \times \text{Size Factor} \]
Where:
Let's calculate the human age equivalent for a 5-year-old medium-sized dog:
Since the dog is over 2 years old, we use the third formula:
\[ \text{Human Age} = 24 + (\text{Dog Age} - 2) \times \text{Size Factor} \]
Plugging in the dog's age and size factor for medium dogs:
\[ \text{Human Age} = 24 + (5 - 2) \times 5 \]
Simplifying:
\[ \text{Human Age} = 24 + 3 \times 5 = 24 + 15 = 39 \]
Therefore, a 5-year-old medium-sized dog is approximately 39 years old in human years.
The following diagram illustrates the relationship between dog years and human years for a medium-sized dog:
This visual representation shows how 5 dog years equate to approximately 39 human years for a medium-sized dog, demonstrating the non-linear relationship between dog and human ages.