(a) Scatter diagram of the data:

Comment: The relation appears to be cubic.

(b)

Find the cubic function of best fit that models the relation between decade and number of major hurricanes.

The cubic function is .

(c)

Predict the number of major hurricanes that struck the united States between and :

From the given data, and represents .

Substitute in .

.

About major hurricanes.

(d)

Graph the function.

Graph of the cubic function :

(e)

Predict the number of major hurricanes that struck the united states between and :

According to the given data, and represents .

Substitute in .

.

Approximately major hurricanes.

(f) Yes.

(a) Scatter diagram of the data:

The relation appears to be cubic.

(b) .

(c) About major hurricanes.

(d)

Graph of the cubic function :

(e) Approximately major hurricanes.

(f) Yes.