Which statements describe a function that is nonlinear? Select each description of a nonlinear function.
A) given the total amount spent, x dollars, the total amount of change received after paying at the grocery store with $80
given the number of hours worked, x, the total amount of money earned when paid $15 per hour
B) the perimeter of a rectangle, given that the width is half the length and the width is w meters
C) the volume of a cube, given the side length of the cube is x centimeters
D) the area of a circle, given the radius is r inches

High schoolmathematics 5 points keith is the leading goal scorer for a team in an ice hockey league. last season, he scored 42 goals in 82 games. assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis?

Solve this problem! extra ! 3025/5.5 = a/90.75 / = fraction

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.