Final answer:
The magnification of the telescope with a 75.0 cm objective lens focal length and a 6.00 cm eyepiece lens focal length is 12.5, which corresponds to answer choice A.
Step-by-step explanation:
The magnification of a telescope is the ratio of the focal length of the objective lens to that of the eyepiece lens. For the telescope with an objective lens of focal length 75.0 cm and an eyepiece with a focal length of 6.00 cm, the magnification (M) can be calculated as:
M = Focal length of objective lens / Focal length of eyepiece lens
M = 75.0 cm / 6.00 cm
M = 12.5
Therefore, the correct answer is A. 12.5, which means that the telescope magnifies the image by 12.5 times.