Answer:
Fish Population The population of a certain species of fish has a relative growth rate of 1.2 %per year. It is estimated that the population in 2000 was 12 million. (a) Find an exponential model for the population tyears after 2000 . (b) Estimate the fish population in the year 2005 (c) Sketch a graph of the fish population.
Step-by-step explanation:
Let numbers of books be 'b' and numbers of CDs be 'c'
We can set up two equations:
Equation [1] ⇒
Equation [2] ⇒
We are solving for the number of books and the number of CDs bought
When we have two equations in terms of two different variables;
and
, that we need to solve, then this becomes a simultaneous equation problem.
First, rearrange Equation [1] to make either
or
the subject:
Then we substitute
into Equation [2]
Now we know the value of
which is
, substitute this value into
we have
Answer:
Numbers of books = 13
Numbers of CDs = 7
<span>Function
1:
Number of Weeks (x) Amount Remaining (dollars) (y)
1 30
2 24
3 18
4
12
You find the rate of weekley rate of change by calculating the difference of the amont remaing between two weeks:
24 - 30 = - 6
18 - 24 = - 6
12 - 18 = - 6
As you see the rate of change is constant: - 6 dollars per week.
The equation shows the relationship between the amount of money, y,
remaining in Ricky's account and the number of weeks, x:
Function 2: y =
–7x + 30 Which statement states and explains which function shows a
greater rate of change?
The rate of change is the slope of the linear function, and this is the coefficient of the independent variable, x. Then the rate of change is - 7 dollar per week. Now you know that the two rates are constant and that the second function shows a steeper decreasing.
</span>
Positive because it does not go less than 0.
