The focal length, F, in a camera is given by the following function, where d is the distance from the lens in the camera to the

Question

2 years ago

15

The focal length, F, in a camera is given by the following function, where d is the distance from the lens in the camera to the

object being photographed.
F = 2.24d/ d +2.24

Write an equation that expresses distance, d, as a function of the focal length, F.

Mathematics

2 answers:

meriva · Answer 1 · 2022-06-04T18:39:24+03:00

meriva2 years ago

4 0

Answer: D) d = -2.24F/F-2.24

maria [59] · Answer 2 · 2022-06-04T16:53:59+03:00

maria [59]2 years ago

3 0

You are asked to solve the equation given for d. As it is a proportion you can cross multiply and then isolate the d.

$F= \frac{2.24d}{d+2.24}$
$F(d+2.24)=2.24d$
$Fd+2.24F=2.24d$

Next factor out d to obtain

$2.24F=d(2.24-F)$
$d= \frac{2.24F}{2.24-F}$

Using function notation: $G(d)= \frac{2.24F}{2.24-F}$