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proportional relationships can be represented in different ways: tables, graphs, equations, and verbally. three situations are described below. match up the representations that have the same proportional reasoning as the scenarios described below. all scenarios will have at least one representation (items a-g) from the table of different representations below. that look for more than one matching possibility.

scenario 1: mrs. perez types 104 words in 8 minutes.

representations with same proportional reasoning:

scenario 2: y+3.5x

representations with same proportional reasoning:

scenario 3:

this scenario is the picture under this question

representations with same proportional reasoning:

Write a polynomial that fits the description: a third-degree polynomial with leading coefficient -4

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Identify the number 127 as a rational or irrational. explain