Option a: The number of bacteria at time x is 0.
Option b: An exponential function that represents the population is 
Option c: The population after 10 minutes is 11534(app)
Explanation:
It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)
Option a: To determine the number of bacteria x when y = 200
From the graph, we can see that the line meets y = 200 when x = 0
Thus, the coordinates are (0,200)
Hence, the number of bacteria at time x is 0 when y = 200.
Option b: Now, we shall determine the exponential function of the population.
The general formula for exponential function is 
Where a is the starting point and 
b is the common difference.
To determine the common difference, let us divide,

Also, 
Hence, the common difference is 
Thus, substituting the values
and
in the formula
,
we have, 
Hence, An exponential function that represents the population is 
Option c: To determine the population after 10 minutes, let us substitute
in
, since the x represents the population of the bacteria in minutes.
Thus, we have,

Hence, the population after 10 minutes is 11534(app)