On the surface, it seems easy. can you think of the integers for x, y, and z so that x³+y³+z³=8? sure. one answer is x = 1, y = -1, and z = 2. but what about the integers for x, y, and z so that x³+y³+z³=42?

that turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (for the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. obviously.)

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)