Question

summary: reams of paper
the equation h = 2.5r represents the height in inches, h, of r reams of paper.
a. what does 2.5 mean in this situation?
b. what is the height of 5 reams of paper? show or explain your thinking

Explanation:

Part a

Step1: Analyze the equation form

The equation is \( h = 2.5r \), which is in the form of a proportional relationship \( y=kx \), where \( k \) is the constant of proportionality.

Step2: Interpret the constant

In the context of height (\( h \)) of \( r \) reams of paper, the coefficient \( 2.5 \) (the constant of proportionality) represents the height (in inches) of 1 ream of paper. Because when \( r = 1 \) (1 ream), \( h=2.5\times1 = 2.5 \) inches, so 2.5 inches is the height per ream of paper.

Step1: Identify the values

We know the equation \( h = 2.5r \), and we need to find the height when \( r = 5 \) (5 reams of paper).

Step2: Substitute and calculate

Substitute \( r = 5 \) into the equation \( h=2.5r \). So \( h = 2.5\times5 \). Calculating \( 2.5\times5 = 12.5 \).

Answer:

2.5 represents the height (in inches) of 1 ream of paper.

Part b