Question

PLEASE HELP ME ASAP WILL MARK BARINLIEST

Imani was asked to give an example of a situation that can be represented by an exponential function. Her answer is given below:

The population of frogs in a pond has been in decline for the past few decades. Each decade, the population is half of what it was the previous decade.

is she correct? explain.

Answer 1

Yes, she is Correct

Explanation:

I could prove this through writing the exponential equation that resembles this equation, but it's simpler than that:

It mentions that the population would be half of what it was before (a decade before). Now it is safe to say that every exponential (not decaying) equation gradually increases so that every value differs from it's consecutive value through multiplication of a constant.

That is why, given the population would be half of what it was before, 0.5 acts as the 'constant' and the word problem can be modeled by an exponential graph + exponential function.