According to the National Marine Fisheries Service, the Maine lobster catch (in millions of pounds) has greatly increased in the past 30 years. See the table below, where $t$ is years since 1965

Use a calculator or computer to fit the data with:

(a) A power function of the form $y=at^b$:
$y =$

(b) A quadratic function of the form $y=at^2+bt+c$:
$y =$

(c) Which is a better fit? Be sure you can explain why. Pick better fit The power function in (a). The quadratic function in (b).