Answer:
The weight of the block of ice after 1 day is of 4.81 pounds.
Step-by-step explanation:
Equation for exponential decay:
The equation that models an amount after t hours, subject to exponential decay, is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A 10-pound block of ice melts at a rate of 3% per hour.
This means that [tex]A(0) = 10, r = 0.03[/tex]
So
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 10(1 - 0.03)^t[/tex]
[tex]A(t) = 10(0.97)^t[/tex]
Find the weight of the block of ice after 1 day.
One day has 24 hours, so this is A(24).
[tex]A(24) = 10(0.97)^{24} = 4.81[/tex]
The weight of the block of ice after 1 day is of 4.81 pounds.
