The function f(t)=5600(1.006)^{10t}f(t)=5600(1.006) 10t represents the change in a quantity over decades. What does the constant 1.006 reveal about the rate of change of the quantity?

Respuesta :

Answer:

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.

Step-by-step explanation:

Mathematically speaking, the function represents an exponential equation, whose form is:

[tex]f(t) = a_{o}\cdot r^{k\cdot t}[/tex] (1)

Where:

[tex]t[/tex] - Independent variable.

[tex]r(t)[/tex] - Dependent variable.

[tex]a_{o}[/tex] - Initial value.

[tex]k[/tex] - Convergence ratio.

[tex]r[/tex] - Increase rate.

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.