Answer:
See explanation
Step-by-step explanation:
A dog owner observes that from birth to age 14 weeks, the puppy’s weight can be modelled by the equation
[tex]w = 365\cdot (1.23)^t \ (0\le t \le 14)[/tex]
In this equation,
- number 365 represents the initial weight of puppy;
- number 1.23 can be rewritten as 1+0.23, where 0.23 (or 23%) is the rate of weight increase.
When w=4,000, then
[tex]4,000=365\cdot (1.23)^t\\ \\(1.23)^t =\dfrac{4,000}{365}=\dfrac{800}{73}\\ \\t=\log_{1.23}\dfrac{800}{73}\approx 11.5651[/tex]
This means that puppy will weight 4,000 grams nearly at the middle between 11th week and 12th week.
