Answer:
The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship ⇒ C
Step-by-step explanation:
- The relationship between x and y are proportional if [tex]\frac{y}{x}[/tex] = k, where k is a constant
- The proportional relation represented graphically by a line passes through the origin point
Let us use the information, above to solve the question
→ From the given graph
∵ The coordinates of the points are (1, 10), (2, 20), (4, 25), (6, 40)
∵ The equation of proportion is [tex]\frac{y}{x}[/tex] = k
→ Let us check if all the points satisfy the equation or not
∵ x = 1 and y = 10
∴ [tex]\frac{10}{1}[/tex] = k
∴ 10 = k
→ Check the other points if they give the same value of k or not
∵ x = 2 and y = 20
∴ [tex]\frac{20}{2}[/tex] = k
∴ 10 = k
∵ x = 4 and y = 25
∴ [tex]\frac{25}{4}[/tex] = k
∴ [tex]\frac{25}{4}[/tex] = k
∵ x = 6 and y = 40
∴ [tex]\frac{40}{6}[/tex] = k
∴ [tex]\frac{20}{3}[/tex] = k
∵ Not all points satisfy the same value of k
∴ The relation does not represent a proportional relation
The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship.
