Question

The formula y = fx/x - f models the relationships needed to focus an image where y is the distance between the film and projector lens, x is the distance between the move screen and the projector lens, and f is the focal length.

a) Sketch the graph of this rational function for f = 5 centimeters

b) Bob and Carol are showing home movies. Use the graph to describe the desired

distance between the film and the projector lens as Carol moves the projector further from

the screen.

Answer 1

a) Sketch the graph of this rational function for f-5 centimeters Tıt ģ_fJ y fx/(x f) [Parentheses must not be dropped, for avoiding absurtidity/"destroying actual meaning of the given expression ] 20 10 X-S b) Bob and Carol are showing home movies. Use the graph to describe the desired distance between the film and the projector lens as Carol moves the projector further from the screen. We recommend that the bottom of the screen be between 24" and 36" inches off the floor. If you have multiple rows of seating, you may need to go a bit higher to keep clean sight-lines for people sitting behind the first row. Also take into account anything that will sit below the screen, like a center speaker or entertainment center 5 or less According to THX, viewers should not have to look up more than 15 degrees Throw distance x width of screen in inches-distance from screen to projector lens Throw distance is the distance from the screen to the projector For example, if your screen is 87" wide and the throw distance of your projector is 1.3, the projector should be 113" (87x1.3-113") from the screen. Remember to measure from the center of the projectors lens straight to the screen, like the above image shows.