Question

#18.

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, which means that it decreases by 0.02 each week.

Let P(w) represent the amount of fertilizer in cubic yards left after w weeks.

After 1 week, the amount of fertilizer left would be 64,000 - (0.02)(64,000) = 64,000 - 1,280 = 62,720 cubic yards.
After 2 weeks, the amount of fertilizer left would be 62,720 - (0.02)(62,720) = 62,720 - 1,254.4 = 61,465.6 cubic yards.

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

P(w) = 64,000 * (1 - 0.02)^w