Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.


Herby is a corn farmer in Iowa who likes to track the growth of his crops. At various times Herby will go into the field and document the height of the corn (in c, m) and how many weeks it has been since the corn was planted. He plotted the points below.
He is looking for a function that models his data. Since the trend of the data is increasing and convex, he found an increasing convex exponential model and an increasing convex quadratic model.
Which of the following functions fits the data better?
Please choose from one of the following options.
Use the function that you chose to predict the height of the corn 6 weeks after it has been planted. Round your answer to the nearest hundredth.
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
c, m