Question

The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?

Answer 1

The number of hours that the milk will stay fresh is 86.2 hours

Explanation:

Given the following function;

`H(T) = 180*10^((-0.04T))`

where;

T, is the temperature in degrees centigrade

H is the number of hours

At 8°C the number of hours that the milk will stay fresh is given by;

`H(T) = 180*10^((-0.04T))\\\\H(8) = 180*10^((-0.04*8))\\\\H(8) = 180*10^((-0.32))\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours`

Therefore, the number of hours that the milk will stay fresh is 86.2 hours.