Answer:
Student 2 is incorrect because he didn't use the formula properly
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The initial value of the item is Co=$1000, the rate of decay is r=40%=0.4, and the time is t=3 years.
Substituting into the formula:
[tex]C(3)=\$1000\cdot(1-0.4)^3[/tex]
[tex]C(3)=\$1000\cdot0.6^3[/tex]
C(3)=$216
Student 2 is incorrect because he didn't use the formula properly
