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------------------------------------------------ In 1984, the population of Greensboro, N.C. was 197,910. According to the U.S. Census Bureau, Greensboro has been decreasing at the rate of 6.9% annually since 1984. What equation models the population of Greensboro t years after 1984?

A. \( y = 197,910(1 - 6.9)^t \)

B. \( y = 197,910(1 - 69)^t \)

C. \( y = 197,910(1 - 0.069)^t \)

D. \( y = 197,910(1 - 0.69)^t \)

Answer :

The correct response is b. y = 197,910(1.069)^t. 197,910 people called Greensboro, North Carolina, home in 1984. Since 1984, Greensboro's population has been declining at an average rate of 6.9% per year, according to the U.S. Census Bureau.

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. An average rate of change function is a calculation that divides the amount of change in one item by the corresponding amount of change in another. Below are some examples of typical change rates: The typical bus speed is 80 km/h. Fish populations in lakes increase at a rate of 100 each week. For every 1 volt drop in voltage, an electrical circuit's current reduces by 0.2 amps.

The population of Greensboro t years after 1984 is y = 197,910(1.069)^t.

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