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Kyla posted a photo challenge on social media and tagged 3 friends. She requested that each of those friends repost the challenge and tag an additional 3 friends. Write an equation that could be used to determine the total number of people, y, that will be tagged for a given round, x? (Use ^ for exponents, and do not type any spaces. )

Sagot :

The equation that could be used to determine the total number of people is given as y is equal to 3^x.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

Let y be the total number of people that will be tagged.

And let x be a number of the round.

We are assuming the first is when Kyla posted a photo challenge on social media and tagged 3 friends.

So from the problem the equation becomes:

[tex]\rm y = 3^x[/tex]

At first round x = 1, y =3

At second round x = 2, y = 9

At third round x = 3, y = 27

Thus, the equation that could be used to determine the total number of people is given as y is equal to 3^x.

Learn more about the exponential function here:

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