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 cu

Answer 1

bic yards as a function of time in weeks?
Let's let `x` be the number of weeks that have passed since the amount of fertilizer in the warehouse was originally `64,000` cubic yards.

The amount of fertilizer in the warehouse decreases at a rate of `2%` per week, which means that the amount of fertilizer remaining each week is `98%` of the amount from the previous week. Therefore, the function that models the amount of fertilizer in cubic yards as a function of time in weeks is:

`A(x) = 64000 * (0.98)^x`

where:
- `A(x)` is the amount of fertilizer in cubic yards after `x` weeks
- `64000` is the original amount of fertilizer in cubic yards
- `0.98` is the rate at which the amount of fertilizer decreases each week
- `x` is the number of weeks that have passed

Therefore, `A(x) = 64000 * (0.98)^x` is the function that models the amount of fertilizer in the warehouse in cubic yards as a function of time in weeks.