Respuesta :
The time is taken by the coffee to attain the temperature of 70°C will be 14 minutes.
What is the linear system?
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Suppose that we consider a 98°C cup of coffee in a 20°C room.
Suppose it is known that the coffee cools at a rate of 2°C/min.
Then the linear equation is given as
y = mx + c
Let y be the temperature of the coffee and x be a time in minutes.
Then we have
m = -2
Then at x = 0, the temperature of the coffee will be 98°C.
98 = -2(0) + c
c = 98
Then the equation will be
y = -2x + 98
Then the time is taken by the coffee to attain the temperature of 70°C will be
70 = -2x + 98
2x = 98 - 70
2x = 28
x = 14 minutes
More about the linear system link is given below.
https://brainly.com/question/20379472
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