(Modeling) Musician Royalties A musician invests her royalties in two accounts for 1 year.
(a) The first account pays 4% simple interest. If she invests x dollars in this account, write an expression for y1 in terms of x, where y1 represents the amount of interest earned.
(b) In a second account, she invests $500 more than she invested in the first account. This second account pays 2.5% simple interest. Write an expression for y2, the amount of interest earned.
(c) What does y1 + y2 represent?
(d) Graph y1 + y2 in the window [0, 1000] by [-20, 100]. Use the graph to find the amount of interest she will receive if she invests $250 in the first account.
(e) Support the result of part (d) analytically.
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