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

Question

3 years ago

7

of the coffee?

1 answer:

Serggg [28] · Answer 1 · 2022-05-21T09:16:26+03:00

Answer:

The initial temperature of the coffee was 90°C.

Step-by-step explanation:

The function representing the temperature of the coffee after <em>x</em> 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 <em>x</em> = 0.

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

$T(x)=70\cdot(0.80)^{x}+20$

$T(0)=70\cdot (0.80)^{0}+20$

$=70\times 1+20\\=70+20\\=90$

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