Final answer:
The given equation represents exponential growth over time with a decreasing rate. The base of the exponent is between 0 and 1, resulting in the value of the equation decreasing as time increases.
Step-by-step explanation:
The given equation (t)=30,000,000*((8)/(9))^(t) represents exponential growth over time. The base of the exponent is (8)/(9), which is a fraction between 0 and 1. This means the value of the equation will decrease over time. The rate of change is determined by the exponent (t) and the base (8)/(9). As (t) increases, the value of the equation decreases at a decreasing rate, approaching zero over time.
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