A population of 50 foxes in a wildlife preserve triples in size every 13 years. The function y= 50⋅3^x, where x is the number of 13-year periods, models the population growth. How many foxes will there be after 39 years?
First, we need to determine how many 13-year periods are in 39 years. Divide 39 by 13 to get 3 with a remainder of 0. This means there are three 13-year periods in 39 years.
Now we can use the function y= 50⋅3^x to find the population after three 13-year periods by plugging in x=3:
y= 50⋅3^3
y= 50⋅27
y= 1,350
Therefore, there will be 1,350 foxes in the wildlife preserve after 39 years.
To find the number of foxes after 39 years, we need to calculate the value of the function y = 50 * 3^x where x is the number of 13-year periods.
Given that we want to find the number of foxes after 39 years, we can divide 39 by 13 to determine how many 13-year periods have passed.
39 / 13 = 3
Therefore, there have been 3 periods of 13 years.
Now we can substitute x = 3 into the function to find the population after 39 years:
y = 50 * 3^3
y = 50 * 27
y = 1350
So, there will be 1350 foxes after 39 years in the wildlife preserve.