Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. On a graph, the graph increases, remains constant, and then decreases. Is the number of gallons of water in the bathtub a function of time? Yes because each t value is paired with exactly one number of gallons. Yes because the number of gallons is bounded between y = 0 and y = 36. No because each number of gallons is paired with more than one t value. No because from t = 5 to t = 20 the number of gallons of water is constant.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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