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:
[tex]\displaystyle y= 16807*\left(\frac{1}{7}\right)^{x/3}[/tex]
