There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents

the number of deer y in that forest after x months? Round to the nearest thousandth.

The expression that represents the number of deer in the forest is

y (x) = 50 * (1.013) ^x

Step-by-step explanation:

Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:

y (1) = 50 * (1 + 0.15/12) = 50 * (1.0125) = 50.625

y (2) = y (1) * (1.0125) = y (0) * (1.0125) ² = 51.258

y (3) = y (2) * (1.0125) = y (0) * (1.0125) ³ = 51.898

This keeps going as the time goes on, so we can model this growth with the equation:

y (x) = 50 * (1 - 0.15/12) ^ (x)

y (x) = 50 * (1.013) ^x