Question

Write the exponential function that describes the situation.

The initial amount of the function is 12​, and then it decreases by a factor of 7/9
with each unit increase in x.

Answer 1

The exponential function that describes the situation is given by:

y = 12 * (7/9)^x

where y is the value of the function, x is the independent variable, and 12 is the initial amount of the function. The factor (7/9) represents the decrease in the value of the function with each unit increase in x.

Note that as x increases, the value of (7/9)^x will become smaller and approach 0, so the value of the function will decrease towards 0.