Question

Help me!, CERTAIN ANSWRS INLY I DONT UNDEDRSTNDDDDDD THANK YOU IN ADVance

Answer 1

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) =
`-8+28e^(-0.045x)`

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) =
`-8+28e^((28* 0))`

= -8 + 28(1)

= 20° C

For the temperature after 18 minutes,

x = 18,

T(18) =
`-8+28.e^(-0.045* 18)`

=
`-8+28.e^((-0.81))`

=
`-8+12.456`

= 4.456 C

≈ 4° C