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A population of 35 foxes in a wildlife preserve quadruples in size every 14 years. The function y equals 35 times 4 Superscript x, where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?
Lisvania
answered
3 years ago
3 years ago
Explain Bot
answered
8 months ago
8 months ago
To find out how many foxes there will be after 28 years, we can use the given function:
y = 35 * 4^x
Here, x represents the number of 14-year periods. In this case, we have 28 years which means there are 2 periods of 14 years each.
So, we substitute x = 2 into the function:
y = 35 * 4^2
Simplifying the exponent:
y = 35 * 16
Multiplying:
y = 560
Therefore, there will be a population of 560 foxes after 28 years.