An experiment involves dropping a ball and recording the distance it falls(y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the givendata, and consider onlylinear, quadratic,logarithmic, exponential, and power models.

Time(seconds)

0.5

1

1.5

2

2.5

3

Distance(meters)

1.2

4.3

8.5

13.2

18.1

23.1

What is the equation of the bestmodel? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values.

(Type integers or decimals rounded to three decimal places asneeded.)

A.

y= blank + blank lnx

B.

y= blank x blank

C. y= (blank)blank x

D.

y= blank + (blank) x

E.

y= blank x2+ (blank) x+(Blank)