as or that

[vkhu]

"money has such a great influence on our lives as/that some will go to great lengths to make a lot of it."

I was told that "such" is always accompanied by "as" but in this case, I think "that" should be more appropriate. So am I right?

Note: I made that sentence up so feel free to correct any mistake I made in it

[5jj]

that is fine; as is wrong.