a)
• Initial population: 40
,
• Rate of growth: 13%
Function
To know which graph represents the function, we have to replace a value, for example, x = 5.
As we can see based on the image given, the blue line is the one that approximates most to ( 5, 73 ).
b)
• Initial population: 40
,
• Rate of growth: 17%
Also, we will replace the value of x = 5.
As we can see based on the image given, the red line is the one that approximates most to ( 5, 87 ).
c)
As it is a linear function, this will have the form:
In this case, b represents the initial population and m represents the rate of change. Therefore...
And this is represented by the green line (as it is linear).
Answers:
a)
f( x ) is represented by the blue line.
b)
g( x ) is represented by the red line.
c)
h( x ) is represented by the green line.