5 In 2019 scientists developed a model for comparing the ages of humans and dogs.
According to the model,
\(Y = A \ln X + B\)
where \(X =\) dog age in years and \(Y =\) human age in years.
For the model, it is known that when \(X = 1 , Y = 31\) and when \(X = 12 , Y = 71\).
- Find the value of \(B\).
- Determine the value of \(A\), correct to the nearest whole number.
Use the model, with the exact value of \(B\) and the value of \(A\) correct to the nearest whole number, to answer parts (c) and (d).
- Find the human age corresponding to a dog age of 20 years.
- Determine the dog age corresponding to a human age of 120 years.