Question

The amount of fertilizer in a landscaping company's warehouse decreases at a rate of `2\%` per week. The amount of fertilizer in the warehouse was originally, `64,000` cubic yards. Which function models the amount of fertilizer in cubic yards left after `w` weeks?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The amount of fertilizer in the warehouse decreases at a rate of 2% per week. This means that each week, 2% of the remaining amount of fertilizer is subtracted. Therefore, the amount of fertilizer left after `w` weeks can be found by multiplying the original amount of fertilizer by 1 minus the rate of decrease, `0.02`, raised to the power of `w`.

The function that models the amount of fertilizer in cubic yards left after `w` weeks is:

Amount left = 64000 * (1 - 0.02)^w