Question

T(x)=70(.80)*+20 where x is the time in minutes and the T is the temperature in degree celsius . What is the initial temperature of the coffee?

Answer 1

The initial temperature of the coffee was 90°C.

Explanation:

The function representing the temperature of the coffee after x minutes is:

`T(x)=70\cdot(0.80)^(x)+20`

T is the temperature in degree Celsius.

The initial temperature of the coffee will be at x = 0.

Compute the value of T (x) at x = 0 as follows:

`T(x)=70\cdot(0.80)^(x)+20`

`T(0)=70\cdot (0.80)^(0)+20`

`=70* 1+20\\=70+20\\=90`

Thus, the initial temperature of the coffee was 90°C.