*PLS HELP* Question:
The quantities x and y are proportional.
Find the constant of proportionality (r) in the equation y = rx
r=(_)

r = 2.5

Step-by-step explanation:

x is directly proportional to y. This can be written as,

x ∝ y

In terms of constant, the proportionality can be written as,

x = ry

Where r is the constant. The table has a set of values for x and y. Let's substitute the values in the first row into the equation with the constant.

10 = r × 4

r =

r = 2.5

Lets check with the second row.

12.5 = r × 5

r =

r = 2.5

Since both sets of values have the same answer for the constant, this means that the third row of values should probably have the same constant.

r = 2.5

answer: she must produce at least 9,000 windows in order to make a profit of $48,000

explanation:

48,000 - 12,000 = 36,000

36,000/4 = 9,000