Question

you just learned that in a linear relationship, one quantity has a constant rate of change with respect to the other. describe why line m represents a linear relationship.
line m represents a linear relationship because there a constant rate of change. every time you add 1 pizza, you add dollars to the total.

Explanation:

A linear relationship has a constant rate of change, meaning the change in the y-value (total cost) for each 1-unit increase in the x-value (number of pizzas) is the same. Calculating the difference in total cost between consecutive pizza counts: from 1 to 2 pizzas, cost goes from $10 to $20, a $10 increase. This $10 increase is consistent for each additional pizza (2 to 3: $20 to $30, +$10; 3 to 4: $30 to $40, +$10, etc.).

Answer:

Line m represents a linear relationship because there is a constant rate of change. Every time you add 1 pizza, you add 10 dollars to the total.