134k views
0 votes
I need help number 10

1 Answer

7 votes

a)

• Initial population: 40

,

• Rate of growth: 13%

Function


f(x)=40\cdot1.13^x

To know which graph represents the function, we have to replace a value, for example, x = 5.


f(5)=40\cdot1.13^5=73.70

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%


g(x)=40\cdot1.17^x

Also, we will replace the value of x = 5.


g(5)=40\cdot1.17^5=87.70

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:


y=mx+b

In this case, b represents the initial population and m represents the rate of change. Therefore...


h(x)=20x+40

And this is represented by the green line (as it is linear).

Answers:

a)


f(x)=40\cdot1.13^x

f( x ) is represented by the blue line.

b)


g(x)=40\cdot1.17^x

g( x ) is represented by the red line.

c)


h(x)=20x+40

h( x ) is represented by the green line.

User Joe Ruello
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories