Let h(x) be a strictly increasing continuous function on [1,5]. If hˉ1 denotes its average value on [1,3] and hˉ2 denotes its average value on [3,5], which one of the following statements is true?
a) hˉ1>hˉ2
b) hˉ1=hˉ2
c) hˉ1<hˉ2
d) The relation between hˉ1 and hˉ2 cannot be determined