Question

i need help with the first question asap. please explain how you did the problem and why or why not they are porportional

Answer 1

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