(100+ points) a fresh cup of coffee is placed on a table to cool. the table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes, x. time (minutes), x 0 1 2 3 temperature (f°), y 200 150 112.5 84.375 which function can be used to represent the relationship shown in the table? y = (0.75) x y = 0.75(200) x y = 200(-0.75) x y = 200(0.75) x

For this case we have a function of the form:
 
 Where,
 A: initial temperature
 b: rate of change
 x: time in minutes
 y: temperature
 We must find the values of the constants A and b.
 To do this, substituting values we have:
 
 We have a system of two equations with two unknowns.
 Dividing both equations we have:
 
 
 From equation 1 we have that the value of A is:
 
 Substituting values in the generic equation we have:
 
 
 A function that can be used to represent the relationship shown in the table is: