Question

2. 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. What function models the amount of fertilizer in cubic yards left after w weeks?

Exponential Growth: y=a*b^x where a initial amount and b is the growth factor.
Sarah identified the initial amount as 78000 and the rate as 3%. She wrote her equation as: y=78,000 〖(3)〗^x.


Error:

Correct solution:

Answer 1

The error is the way she wrote 3%

3% = 0.03

The correct equation should be y = 78,000(0.03)^x