Final answer:
The near point for a child with a 0.750 D contact lens prescription is about 133.3 cm. This is determined using the formula N = 1/D, where N is the near point in meters and D is the prescription in diopters.
Step-by-step explanation:
A contact lens prescription of 0.750 D indicates that the person is mildly farsighted. The diopter (D) is a unit of measurement that describes the power of the lens needed to focus light correctly onto the retina. In the context of farsightedness, the near point is the closest distance at which one can see clearly. The formula to calculate the near point (N) is given by N = 1/D (in meters). Therefore, for a prescription of 0.750 D, the near point would be:
N = 1/D
N = 1/0.750
N = 1.333... (in meters)
Converted to centimeters:
N = 1.333... x 100 cm/m
N = 133.3 cm
Thus, the child's near point would be approximately 133.3 cm.