Question 259028
Our power function is
(i) {{{y = ax^b}}}
using (4,3), we get
(ii) {{{3 = a*4^b}}}
using (8,7), we get
(iii) {{{7 = a*8^b}}}
solving (ii) for a, we get
(iv){{{a = 3/(4^b)}}}
substituting (iv) into (iii) we get
(v) {{{7 = (3/(4^b))*8^b}}}
which can be simplified to
(vi) {{{2.333333 = 2^b}}}
solving for b, we get
b = 1.2224
Now substituting this into (iv), we can get a as
a = .5510
So, our power function becomes
{{{y = .55*x^(1.22)}}}