Based on the table, the values relating t and e with their viability is given by:
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a period of time.
From the table, we would determine which values are viable points as follows:
At a = -2, we have:
e = 300 - 10t
e = 300 - 10(-2)
e = 300 + 30
e = 330 (not viable).
At b = 3.5, we have:
e = 300 - 10t
e = 300 - 10(3.5)
e = 300 - 35
e = 265 (viable).
At c = 10, we have:
e = 300 - 10t
e = 300 - 10(30)
e = 300 - 300
e = 0 (viable).
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