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Answer:
The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;
A y = 3·x
Step-by-step explanation:
The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie
The number of points she will earn for attending each movie = 3 points
The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;
y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write

Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.
Step-by-step explanation:
The general solution of tan(b·x) = 2, given that the smallest positive solution is x = 0.3, is presented as follows;

The given smallest positive solution of tan (b·x) = 2 is x = 0.3
The general solution of tan (b·x + c) = m, is given as follows;

α = arctan(m) = x₀
The minimum positive value of the general solution is therefore presented as follows;


In the given function, tan (b·x), we therefore, have;
c = 0, m = 2, 
The general solution of tan(b·x) = 2, is therefore;

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