Final answer:
By the end of December, the gym can expect approximately 1,903 members.
Step-by-step explanation:
To find the approximate number of members expected by the end of December, we need to determine the month number for December and substitute it into the linear equation of best fit.
Since March is the first month, December would be the 10th month.
Plugging in x = 10 into the equation:
y = 193x - 27, we get y = 193 * 10 - 27
= 1930 - 27
= 1903.
Therefore, by the end of December, the gym can expect approximately 1,903 members.