Which equation represents the situation. 12 is 42% of what number?
1 answer:
You might be interested in
Answer:
a) P' = P
where t is step of 6 months
b) 7.7 years
c)1064.67 rabbits/year
Step-by-step explanation:
The differential equation describing the population growth is
Where t is the range of 6 months, or half of a year.
P(t) would have the form of
where is the initial population
After 6 month (t = 1), the population is doubled to 48
Therefore
where t is step of 6 months
b. We can solve for t to get how long it takes to get to a population of 1,000,000:
So it would take 15.35 * 0.5 = 7.7 years to reach 1000000
c.
We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48
Therefore,
At the mid of the 3rd year, where t = 2.5, we can calculate P'
rabbits/year
There are many ways to check if the point (1,3) is a solution to the linear equation .
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:
Multiplying both sides by -1 we will get:
In order to isolate y, we will divide both sides by 9 to get:
Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.
Thus, we see that when x=1, y=-3 and that and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
