You buy a Lily and an African violet on the same day.You are instructed to water the Lily every fourth day and water the voilet
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Answer:
<em>There are approximately 114 rabbits in the year 10</em>
Step-by-step explanation:
<u>Exponential Growth </u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given two measurements of the population of rabbits on an island.
In year 1, there are 50 rabbits. This is the point (1,50)
In year 5, there are 72 rabbits. This is the point (5,72)
Substituting in the general model, we have:
Dividing [2] by [1]:
Solving for r:
Calculating:
r=0.095445
From [1], solve for Po:
The model can be written now as:
In year t=10, the population of rabbits is:
P = 113.6
There are approximately 114 rabbits in the year 10
Part(A):
To solve the system of Linear equations using Substitution:
Consider the first equation, x+y=7 implies x=7-y
PArt(B): Use a graph to verify your answer to the system:
Using Desmos graphing calculator, graph the two equations.
