Find the scale factor and distance d. Assume that the ratio of d to 75 ft is the same as the ratio of 240 ft to 40 ft.

Answer 1

Let's use x as the scale factor.

We are given that the ratio of d to 75 ft is the same as the ratio of 240 ft to 40 ft, so we can set up the equation:

d/75 = 240/40

To solve for d, we can cross multiply:

40d = 75 * 240

40d = 18000

d = 18000/40

d = 450 ft

Now, to find the scale factor x, we can use the ratio of the two given distances:

240/40 = 450/75

6 = 6

This shows that the ratio of the given distances is equal, so the scale factor is x = 6.