Answer and Step-by-step explanation:
(1) Scale factor is a constant value that multiplies another value. For a puppy's weight, scale factor is 1.23.
The percentage growth is
1.23 = 1 + 0.23
Percentage is 0.23 or 23%.
(2) Equation for increase is
[tex]w=365(1.23)^{t}[/tex]
When w = 4000g:
[tex]4000=365(1.23)^{t}[/tex]
[tex](1.23)^{t}=\frac{4000}{365}[/tex]
[tex]1.23^{t}=10.96[/tex]
Using the log law:
[tex]log_{b} (M^{k}) = klog_{b}(M)[/tex]
[tex]log(1.23^{t})=log(10.96)[/tex]
t.log(1.23) = log(10.96)
0.08990t = log(10.96)
[tex]t=\frac{log10.96}{0.08990}[/tex]
t = 11.56
The puppy will weigh 4000 grams in 11 and half weeks or between 11 and 12 weeks.
