Respuesta :
Answer:
a) For the function [tex]48(1.25)^x[/tex], the parameter for the growth factor is 1.25
c) For the function [tex]28(0.5)^x[/tex], the parameter for the decay factor is 50%.
d) For the function y = 18x + 72, the parameter for the average rate of change is 18.
Step-by-step explanation:
We are given the following in the question:
a) the parameter for the growth factor is 1.25.
[tex]f(x) = 48(1.25)^x[/tex]
Comparing it to
[tex]y(x) = a(1+r)^x[/tex]
The growth factor is
[tex]1+r = 1.25[/tex]
Thus, the given statement is true
b) the parameter for the beginning value is 75.
We are given the equation
[tex]f(x) = 75x + 250[/tex]
The beginning value is given when x = 0. Putting value, we get
[tex]f(0) = 75(0) + 250 = 250[/tex]
Thus, the beginning value is 250.
Hence, the given statement is false.
c) the parameter for the decay factor is 50%.
[tex]f(x) = 28(0.5)^x[/tex]
Comparing it to
[tex]y(x) = a(1-r)^x[/tex]
The growth factor is
[tex]1-r = 0.5 = 50\%[/tex]
Thus, the given statement is true
d) the parameter for the average rate of change is 18.
[tex]y = 18x + 72[/tex]
Comparing to general form of equation:
[tex]y = mx + c[/tex]
where m is the slope and gives the average rate of change.
Thus, the average rate of change is 18.
Hence, the given statement is true.
