Questions: a. Assuming x represents the number of layout pages and y represents the total cost, list the rate of change and an ordered pair for this situation.
rate of change:
ordered pair:
Transcript text: a. Assuming $x$ represents the number of layout pages and $y$ represents the total cost, list the rate of change and an ordered pair for this situation.
rate of change: $\qquad$
ordered pair: $\qquad$
Solution
Solution Steps
To find the rate of change, we need to determine how the total cost \( y \) changes with respect to the number of layout pages \( x \). This is typically represented as the slope in a linear relationship. An ordered pair is a specific point on this line, represented as \((x, y)\).
Step 1: Determine the Rate of Change
The rate of change, which represents how the total cost \( y \) changes with respect to the number of layout pages \( x \), is calculated as follows:
\[
\text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{50 - 0}{10 - 0} = 5.0
\]
Step 2: Identify the Ordered Pair
An ordered pair representing a specific point on the line is given as:
\[
\text{Ordered Pair} = (x, y) = (10, 50)
\]
Final Answer
The rate of change is \( 5.0 \) and the ordered pair is \( (10, 50) \).