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35 votes
I just need to make a explicit equation based to this

I just need to make a explicit equation based to this-example-1
User Le Garcon
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2.5k points

1 Answer

23 votes
23 votes

Answer:

The explicit equation is:


\begin{gathered} f(x)=4^x \\ \\ \text{For x = 0,1,2} \end{gathered}

Step-by-step explanation:

At the beginning, there was only one dot

Day One has 4 dots, and Day Two has 16 dots

Notice that the increase is geometric.

1 to 4 to 16

The common ratio is 4, because 4/1 = 16/4 = 4

So, we have


y=4^x

Where y represents the number of dots, and x is the day number.

Let y = f(x), and we have the explicit equation we require


f(x)=4^x

To check

For x = 0 (At the beginning)


f(0)=4^0=1\text{ dot}

For x = 1 (Day One)


f(1)=4^1=4\text{ dots}

For x = 2 (Day Two)


f(2)=4^2=16\text{ dots}

User Shaunak Patel
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3.3k points