# MAT 222 Intermediate Algebra Assignment

Solve parts a, b, and c of problem 103 on page 605 of Elementary and Intermediate Algebra.
FORMULA IS ON THE PICTURE UPLOADED–USE ONLY THIS FORMULA

a) Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.

b) Solve this formula for d.

c) The accompanying graph shows C in terms of d for the Tartan 4100 (b = 13.5). For what displacement is the Tartan 4100 safe for ocean sailing?

Sailboat stability – We know that for a sail boat to be considered safe for ocean sailing, the cap size screening value C should be less than 2 .For a boat with a beam (or width) b in feet and displacement d in pounds, C is determined by the function

We have to find the capsize screening value for the Tartan 1400, which has a displacement of 23,245 pounds and a beam of 13.5 feet.

We know that the capsize screening value for variable (C) for the Tartan 1400 is given by the formula given below, where d is the displacement in pounds whereas variable b is length of beam in feet.

Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, do the following:

Explain what each of the three variables represents in problem 103.

Demonstrate your solution to all three parts of the problem, making sure to include all mathematical work and an explanation for each step.

Explain why the use of this equation is important for shipbuilders.

Incorporate the following math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):