Earl owns and operates a food trailer at the State Fair. After being featured on a national televison network, his deep‑fried cupcakes dramatically increase in popularity, and Earl hires more workers at a cost of $80 per worker per day. Earl also pays $40 per day just to park his trailer, even if he has no workers. The table shows the number of workers and the number of cupcakes that they can produce in a day. Which of the following represents Earl's production function per day?

a) A linear function with a slope of 16 and intercept at (0,0).
b) An exponential function with a growth rate of 16 and intercept at (0,0).
c) A quadratic function with a vertex at (3,24).
d) A cubic function with an inflection point at (3,24).