Answer:
No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)
Step-by-step explanation:
- The equation of the proportional quantity is y = k x, where k is the constant of proportionality
- This equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zero
To solve the question graphically, we will use the ordered pairs on the table
→ x → y ⇒ ordered pair
→ 1 → 3 ⇒ (1, 3)
→ 7 → 1 ⇒ (7, 1)
→ 4 → 2 ⇒ (4, 2)
Plot the points
→ Look at the attached graph down
- x-axis represents the number of hours
- y-axis represents the number of people
∵ The line does not cut the y-axis at the origin point (0, 0)
→ That means the equation of the line can not be in the form y = k x
∴ The line does not represent a proportional equation
∴ The number of people and the number of hours are not proportion
