Option A is the graph of the function.
Let the amount of money Michael plans to make be a function say f(x)
Now here we see that graphing of a function has certain rules.
If the function has a perfect equation with no inequalities all the oints of the function are plotted on the number line
If the function is inequality with a greater than or equal to sign then the point where LHS = RHS, is plotted and darkened the rest is shaded according to the inequality sign. This implies that for a greater than inequality the portion of the line lying right of the point will be shaded whereas for a lesser than inequality, the portion lying on the left will be shaded.
For a complete inequality. e with no equal option, we simply mark the point where LHS = RHS but do not darken it and shade the line according to the inequality criteria.
Here Michael wishes to earn more than $50,
hence, f(x) is a strictly increasing function.
This implies that to draw the number line, the point 50 will be only marked and not shaded, whereas the number line lying to the right of 50 will be darkened.
The above criteria is satisfied by option A.
Hence, option A is the graph of the function.
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