Simple equation needed for baseball batting average.

Question

I've come up to bat 100 times and got 35 hits for a .350 batting average. I want to improve my batting average to .400. What's the equation that takes into account each additional at-bat's impact?

Answer 1

A(x) = (35 + x) / (100 + x)

Answer 2

35+10)/(110) = 0.409

(35+9)/(109) = 0.403

(35+8)/(108) = 0.398

You need 9 straight hits in the next 9 at bats to raise it from 0.350 to at least 0.400. 8 more hits comes very close though

(35+x)/(100+x) = batting average where x = an additional hit at the next at bat.

if x=0, left side= 35/100 = .350

if x = 9, left side = .403

if x =8, left side = .398