What is the value of x in the diagram?
2 answers:
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Answer:
.
Step-by-step explanation:
A point of the form belongs to the graph of this function,
, if and only if the equation of this function holds after substituting in
and
.
The question states that the point belongs to the graph of this function. Thus, the equation of this function,
, should hold after substituting in
and
:
.
.
Solve this equation for the constant :
.
Thus, .
The poopulation exponential model is given by
Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:
Thus, the exponential equation using the 1750 and the 1800 population values is
The population of 1900 using the 1750 and the 1800 population values is given by
The population of 1950 using the 1750 and the 1800 population values is given by
From the table, it can be seen that the actual figure is greater than the exponential model values.
Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:
Thus, the exponential equation using the 1750 and the 1800 population values is
The population of 1900 using the 1750 and the 1800 population values is given by
The population of 1950 using the 1750 and the 1800 population values is given by
From the table, it can be seen that the actual figure is greater than the exponential model values.