[tex]f(x)=b(a)^x\\\\x=0\to y=24\qquad\text{substitute}\\\\b(a)^0=24\to b=24\\\\x=1\to y=40.8\qquad\text{substitute}\\\\24(a)^1=40.8\qquad\text{divide both sides by 24}\\\\a=1.7\\\\f(x)=24(1.7)^x\\\\\text{check for x = 2}\\\\f(2)=24(1.7)^2=24(2.89)=69.36\qquad\text{CORRECT}\\\\f(3)=24(1.7)^3=24(4.913)=117.912\\\\f(4)=24(1.7)^4=24(8.3521)=200.4504[/tex]
