Which of the following equations is of a parabola with a vertex at (3, 0)?
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Given : A social media website has currently = 1,000 members.
In each month number of members gets triple.
To find: Equation that represents number of members m belongs to site.
Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.
For first month, we would multiply 1,000 by 3.
For second month, we would multiply 1,000 by 3 *3.
For second month, we would multiply 1,000 by 3*3*3.
Each month one factor of 3 is being increasing.
We could write those 3's as exponents of 3.
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As many months as many 3's are there.
So, the exponent of 3 is represnts the number of months.
Let us take a variable for number of month by n.
So, we could setup an equation for number of members m belongs to site on a particular month n as
This is our final equation.