Amusement arcades: At a local amusement center, the owner has the SkeeBall machines progra...

Amusement arcades: At a local amusement center, the owner has the SkeeBall machines programmed to reward very high scores. For scores of 200 or less, the function models the number of tickets awarded (rounded to the nearest whole). For scores over 200, the number of tickets is modeled by T(x) = 0.001x2 − 0.3x + 40.

(a) Write these equation models of the number of tickets awarded in the form of a piecewise-defined function. Include the domain for each piece. Then (b) sketch the graph and find the number of tickets awarded to a person who scores 390 points.