Question

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

Explanation:

Step1: Identify rate of change

Calculate change in cost per pizza:
Take two points, e.g., $(1,15)$ and $(2,25)$.
Rate of change = $\frac{25-15}{2-1} = 10$
Verify with another pair, e.g., $(3,35)$ and $(4,45)$:
Rate of change = $\frac{45-35}{4-3} = 10$

Step2: Confirm constant rate

All consecutive points show the same rate of change.

Answer:

Line $p$ 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.