The amount of fertilizer in a landscaping company's warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

Answer 1

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

Since the amount of fertilizer decreases at a rate of 3% per week, the amount of fertilizer left after w weeks can be calculated as:
f(w) = 78000 * (1 - 0.03)^w

Therefore, the function that models the amount of fertilizer in cubic yards left after w weeks is:
f(w) = 78000 * (0.97)^w