Answer:
a) h / h₀ = 1,682
, b) h / h₀ = 1.11
, c) h / h₀ = 2.07
Explanation:
For this exercise let's look for the growth equation, as they indicate that it is exponential
h = h₀ [tex]e^{\alpha t}[/tex]
The initial height is 9 ”, so the constant
h₀ = 9”
Let's use the given values
h = 15.1655”
t = 5 days
h / h₀ = [tex]e^{\alpha t}[/tex]
α = 1 / t ln h / h₀
α = 1/5 ln (15.1655 / 9)
α = 0.104
h = 9 e^{0.104 t}
a) the growth factor is the relationship between the initial value and the current value
h / h₀ = [tex]e^{0.104 5}[/tex]
h / h₀ = 1,682
b) for t = 1 day
h / h₀ = [tex]e^{0.104 1}[/tex]
h / h₀ = 1.11
c) for t = 7 days
h / h₀ = e^{0.104 7}
h / h₀ = 2.07
