Final answer:
Increasing the speed of an intensifying screen leads to an increased radiographic density, meaning the film will appear darker with the same level of radiation exposure.
Step-by-step explanation:
As the speed of an intensifying screen increases, it requires less radiation to produce a certain level of density on the radiographic film. When the screen is exposed to radiation, it emits light that in turn exposes the film. Faster screens emit more light per unit of radiation, which increases the film's exposure for the given amount of radiation. Therefore, an increase in screen speed leads to an increase in radiographic density, assuming all other variables remain constant. The relationship between the density of the image on a film and the amount of radiation exposure it receives is not linear but has a direct correlation; more exposure tends to create a darker image.