Theater Club Stage Crew The school's theater club is building sets that will make ordinary students look like giants. The actors need a door, a table, and a stool that will make them look almost twice as tall!

DOOR: actual height is 80 inches and Height on Set is 44 inches

TABLE: actual height is 28 inches

STOOL: actual height is 18 inches

The heights of the objects in the set are proportional to the actual heights of objects. What is the CONSTANT OF PROPORTIONALITY? Write as a whole number, decimal or fraction.

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  a) the constant of proportionality multiplies every actual linear dimension

  b) the can should be 3.85 inches high

Step-by-step explanation:

Since the desire is to have students look twice as tall, we expect the constant of proportionality to be 1/2. Instead, we're told that the stage manager is using a height of 44 inches to represent an 80-inch door. This means their constant of proportionality is 44/80 = 0.55.

A) Any new props can be scaled by this factor (0.55) to find their height on set.

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B) A 7-inch can would be scaled to 7·0.55 = 3.85 inches in height.

a

step-by-step explanation: