Respuesta :
Answer:
The temperature difference in 5 minutes will be 12.38ºC
Step-by-step explanation:
The difference in temperature after t minutes is given by the following equation:
[tex]T(t) = T(0)(1-r)^{t}[/tex]
In which T(0) is the initial temperature and r is the decrease rate, as a decimal.
Decreases by 5% every minute.
This means that [tex]r = 0.05[/tex]
What will the temperature difference be in 5 minutes if it is currently 16°C
This is T(5) when [tex]T(0) = 16[/tex]
So
[tex]T(t) = T(0)(1-r)^{t}[/tex]
[tex]T(t) = 16(1-0.05)^{t}[/tex]
[tex]T(t) = 16*(0.95)^{t}[/tex]
[tex]T(5) = 16*(0.95)^{5} = 12.38[/tex]
The temperature difference in 5 minutes will be 12.38ºC
