/sci/ - Science & Math

hey /sci/,

Don't want y'all to solve this problem, but just wondering, how to solve this kind of problem in general? Thanks!

Find an equation for the linear function which has f(200) = 1200 and f(750) = 3600

My visualization of metric expansion is something along the lines of four people loosely holding the corners of a large sheet. On the sheet there are weights of varying masses and densities that displace the part of the sheet they are touching relative to the "smooth" parts of the sheet in between the weights.

Space expanding is like the four people on the corners/edges pulling the sheet taught, and when pulled taught enough, the weights don't create "valleys" or "sinkholes" in the sheet.

How can I improve this intuitive model?