Answer:
Approximately 0.0121 will be left after 15 days.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is given by:
[tex]y=a(b)^x[/tex]
Let x represent the amount of days. Since the initial amount is 3,820 pounds, a = 3820. It decays at a rate of 57% per day. So, after one day, it will only have 100% - 57% = 43% or 0.43 of its previous amount. So, b = 0.43.
Hence, our function is:
[tex]y=3820(0.43)^x[/tex]
After 15 days, x = 15. Substitute and evaluate:
[tex]y(15)=3820(0.43)^{15}\approx 0.0121\text{ pounds}[/tex]
