The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the mul
2 answers:
Answer:
5
Step-by-step explanation:
Consider the given function
.... (1)
It is given that the graph of function passes through the points (1, 10), (2, 50), and (3, 250).
The general form of an exponential function is
..... (2)
where, a is the initial value and b is the multiplicative rate of change of the function.
On comparing (1) and (2) we get
Therefore, the initial value of the function is 2 and multiplicative rate of change of the function is 5.
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Answer:
The rate at which the total income is increasing is$1627415600
Step-by-step explanation:
From the given data
Population in the area=P=961400
The rate of increase in population=dP/dt=9200
The Average Income=I=$30593
The rate of increase in Average Income=dI/dt=$1400
Now the total income is given as
Total Income=TI=PI
So the rate of increase of total personal income is given as
From the product rule of derivatives
Here
I is the Average Income which is given as $30593
dI/dt is the rate of increase of income which is given as $1400.
P is the population of the area which is given as 961400
dP/dt=9200 is the rate of increase of population which is given as 9200
By substituting the values,
So the rate at which the total income is increasing is$1627415600