Final answer:
The distance to the image is j. 30.0 cm and the image is b. real.
Step-by-step explanation:
The given problem involves a convex lens with a focal length of 15 cm and an object placed 10 cm from the lens. To find the distance to the image, we can use the lens formula:
1/f = 1/v - 1/u
where f is the focal length, v is the distance to the image, and u is the distance of the object from the lens. Plugging in the given values:
1/15 = 1/v - 1/10
Solving this equation gives v = 30 cm. Since the image distance is positive, the image is real. Therefore, the correct answer is j. 30.0 cm and b. real.