The equation y = 1/5x represents a proportional relationship. Explain how you can tell the relationship is proportional from the graph of the equation, and how you can find the constant of proportionality.

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Answersif there is a children’s movie playing at the cinema, maria’s mother will take her to see it. when maria’s mother takes her to the movie, she buys maria popcorn. therefore, if there is a children’s movie playing at the cinema, maria’s mother will buy popcorn for maria.if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.explanation

the law of syllogism is an argument of the form

if p, then qif q, then rtherefore, if p, then r.

this choice is one that uses the law of syllogism argument form:

if there is a children’s movie playing at the cinema, maria’s mother will take her to see it. when maria’s mother takes her to the movie, she buys maria popcorn. therefore, if there is a children’s movie playing at the cinema, maria’s mother will buy popcorn for maria.

this choice is another:

if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.

the others are incorrect as they do not one that use the law of syllogism:

sally goes to the mall every saturday. today is saturday. therefore, sally will go to the mall today. if a quadrilateral is a rectangle with 4 equal sides, then it is a square. quadrilateral abcd is a rectangle with 4 equal sides. therefore, quadriateral abcd is a square.

these two choices argue by the rule of detachment (if p, then q, and p, then q).