S is partly constant and partly varies with T . when S=25, T=38 and when S=32, T=46
¡ find the formula connecting S and T
¡¡ what is S when T=50
since there are only two points all I can do is a straight line
y = m x + b
slope = m = (46-38) / (32-25) = 8 / 7
so y = (8/7) x + b
put a point in to find b like (32,46)
46 = (8/7) ( 32 ) + b
322 = 8*32 + 7 b
7 b = 322 - 256 = 66
b = 66/7
so
y = (8/7) x + 66/7
7 y = 8 x + 66