Question

Can someone plz help me with these plzzzz?!

Answer 1

Answer:

Exponential decay function

Step-by-step 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:

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