**(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.

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |

"Your site is amazing! It helped me get through Algebra." Charles |

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |