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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First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.