A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I- 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)

Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?

Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?

Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.

“. . when in the wrought chest the wind blowing over and the sea heaving struck her [danae] with fear, her cheeks not dry, she put her arm over perseus and spoke: my child such trouble i have. and you sleep, your heart is placid; you dream in the joyless wood; in the night nailed in bronze, in the blue dark you lie still and shine. the salt water that towers above your head as the wave goes by you heed not, nor the wind’s voice; you press your bright face to the red blanket. if this danger were danger to you, your small ear would attend my words. but i tell you, sleep, my baby, and let the sea sleep, let our trouble sleep . .” —simonides, greek poet, as quoted in a soaring spirit: time frame 600–400 b. c. how does danae feel about perseus? a. she loves him deeply. b. she doesn’t care what happens to him. c. she is angry at him. d. she wants to leave him behind. select the best answer from the choices provided a b c d

Based on what you have learned, why would victories in the western theater have been important to the union?

What was one major effect of industrialization on american society?