Algebra-1

The function that describes the situation where 50 dollars triples in value every month is exponential.

Here's why:

1.Exponential Function: In this case, the value of the money increases by a constant factor (tripling) every month. This kind of growth, where the quantity multiplies by a fixed rate each period (in this case, every month), is characteristic of an exponential function.

 

The general form of an exponential growth function is:

 

where:

a is the initial amount,

b is the growth factor (for tripling, b = 3),

x is the number of periods (months).

 

For this problem:

a = 50 (the initial amount of money),

b = 3 (the money triples each month),

x is the number of months.

 

So the function describing the value of the money over time...