[tex]D(t)=50^o(0.80)^t[/tex]
Step-by-step explanation:
Writing a function that gives the temperature difference in degrees Celsius, D(t), t minutes after the cake was put in the cooler
we know that
The equation of an exponential decay function is equal to
D(t) = [tex]a(1 - r )^{t}[/tex]
where
D(t) is the temperature difference in degrees
t is the number of minutes
r is the rate of change
a is the initial value
we have
a = 50°C
r = 1 / 5 = 0.20
substitute
D(t) = 50° [tex](1 - 0.20)^{t}[/tex]
D(t) = 50° [tex](0.80)^{t}[/tex]
