The population of Winnemucca, Nevada , can be modeled by P=6191(1.040^t where t is the number of years since 1990. What was the population in 1990? By what percent did the population increase by each year?

P=6438 P=4%

P=6438 P=4% is correct

To find out the population of Winnemucca, Nevada in 1990, we need to substitute the given value for t into the population growth model equation.

The population growth model equation provided is P = 6191(1.040^t), where t represents the number of years since 1990.

Since we're looking for the population in 1990, we know that t = 0 because it is the number of years since 1990. Now we can substitute this value into the equation:

P = 6191(1.040^0)
P = 6191(1)

Any number raised to the power of 0 is always 1. Therefore, we have:

P = 6191

So, the population of Winnemucca, Nevada in 1990 was 6191.

Now let's calculate the percentage increase in population each year. We can do this by comparing the population at different years.

The equation P = 6191(1.040^t) shows that the population increases by a factor of 1.040 each year. This means that the population is multiplied by 1.040 every year.

To calculate the percentage increase, we subtract 1 from the multiplier and multiply by 100:

Percentage Increase = (1.040 - 1) * 100
Percentage Increase = 0.040 * 100
Percentage Increase = 4%

Therefore, the population of Winnemucca, Nevada increased by 4% each year.