Question

The constant of proportionality is Part A: The heights of objects in the set are proportional to the actual heights of objects. Actual Height Height on Set Door 80 in 1. What is the constant of proportionality? 2. Complete the table. 44 in Table 28 in Stool 18 in Part B: How can the stage manager use the constant of proportionality to find the dimensions of any new props the director needs? Part C: What should be the height of a can of fruit juice used as a prop be if its actual height is 7 inches? Show your work and explain. BER

Answer 1

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form

y=kx

where k is the constant of proportionality

k=y/x

Let

y -----> the actual height

x -----> the height on set

Find the value of k

For the Door

k=80/44

Simplify

k=40/22

k=20/11

therefore

the value of k=20/11

Complete the table

we have that

The linear equation is

y=(20/11)x

so

Table

y=28 in

substitute in the equation

28=(20/11)x

solve for x

x=(28*11)/20

x=15.4 in (height on set)

Stool

y=18 in

substitute

18=(20/11)x

solve for x

x=18*11/20

x=9.9 in (height on set)