Question

Which ordered pair would form a proportional relationship with the point graphed below? (40, 10)

Options:
A) (-5, -10)
B) (5, 20)
C) (-10, -20)

Answer 1

The student asked which ordered pair would form a proportional relationship with the point (40, 10). None of the given options, A) (-5, -10), B) (5, 20), or C) (-10, -20), have a ratio of 1 / 4, which is the ratio of the original point, so none of them form a proportional relationship with it.

Step-by-step explanation:

The student asks which ordered pair would form a proportional relationship with the point (40, 10). In a proportional relationship, the ratio between the x and y values is constant. The ratio for the given point (40, 10) is 10 / 40, which simplifies to 1 / 4.

Let's examine the options given:

• A) (-5, -10): The ratio is -10 / -5 = 2. This does not equal 1 / 4, so this pair does not form a proportional relationship.
• B) (5, 20): The ratio is 20 / 5 = 4. This does not equal 1 / 4, so this pair does not form a proportional relationship.
• C) (-10, -20): The ratio is -20 / -10 = 2. This does not equal 1 / 4, so this pair does not form a proportional relationship.

Upon inspection, none of the provided options have a ratio of 1 / 4, so none of the options would form a proportional relationship with the point (40, 10).