Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

Where, k is the constant of proportionality.

For the given point,

For option (A),

For option (B),

For option (C),

.

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

Z = (x - mean) / SD
The z-score for x = 63 is: z = (63 - 65.5) / 2.5 = -1
The z-score for x = 70.5 is: z = (70.5 - 65.5) / 2.5 = 2
Therefore we need the probability that -1 < z < 2. This is equivalent to the probability that z < -1, subtracted from the probability that z < 2. From z-tables, we find that this is equal to 0.9772 - 0.1587 = 0.8185. This means that 81.85% of women's heights fall within this range.