2.8k views
1 vote
Can someone plz help me with these plzzzz?!

Can someone plz help me with these plzzzz?!-example-1

1 Answer

2 votes

Answer:

Exponential decay function

Explanation:

The given table represents some function between x and y:

x - 3 - 6 - 9 - 12

y - 2401 - 343 - 49 - 7

We are required to find if it's exponential growth, decay, or neither.

An exponential function is identified because each term is calculated as the previous term multiplied by a constant factor.

The linear relationship is identified because each term is calculated as the previous term plus a constant difference.

Note the values of x grow three by three and the values of y are constantly divided by 7 or multiplied by 1/7.

There is a common factor and not a common difference. Since the common factor is less than 1, the function is exponential decay.

Bonus: The exponential function is:


\displaystyle y= 16807*\left((1)/(7)\right)^(x/3)

User Dan Head
by
5.1k points