Geometry Study the rectangular prism below.

(a) Create a formula in terms of a that will determine the total surface area of this rectangular prism. Click here for help with symbolic formatting.

Enter a mathematical expression.

1

(b) What is the surface area if a = 2?

Enter a number.

2
(c) What is the surface area if a = 6.6?

Enter a number.

3

Fundraising The Central High School Band Boosters have a concessions stand for home football games. They sell beverages for $1.50 and candy for $0.85. Their goal is to sell a total of $400 for each game.

(a) Write an equation that is a model for the different numbers of beverages and candy that can be sold to meet the goal of selling a total of C dollars for each game. Use x for the number of beverages sold, y for the pieces of candy sold, and C for the sales goal.
C =

Enter a mathematical expression.

1

(b) Graph the equation. (Ask your instructor if you should turn in this graph.)

(c) Is this equation also a function?

2

Yes, this is a function. No, this is not a function.    

If this equation is a function, is it discrete or continuous?

3

This is a discrete function. This is a continuous function.     This is not a function.

(d) If they sell 100 beverages and 200 pieces of candy, will the Band Boosters meet their goal?

4

no yes    

What will their total sales be?
$

Enter a number.

5

Veterinary Medicine The table below shows the amounts of nutrient A and nutrient B in two types of dog food, X and Y.

The dogs in Kay's K-9 Kennel must get at least 40 pounds of food per day. The food may be a mixture of foods X and Y. The daily diet must include at least 20 units of nutrient A and at least 30 units of nutrient B. The dogs must not get more than 90 pounds of food per day.

(a) Food X costs $0.70 per pound and food Y costs $0.35 per pound. What is the least possible cost per day for feeding the dogs?
$

Enter a number.

1

(b) If the price of food X is raised to $1.00 per pound, and the price of food Y stays the same, should Kay change the combination of foods she is using?

2

yes no    

Explain why or why not.
3

Geometry In triangle ABC, the measure of A is twice the measure of B. The measure of C exceeds four times the measure of B by 19 degrees. Find the measure of each angle.

A =

Answer is not case sensitive.

1 degrees
B =

Answer is not case sensitive.

2 degrees
C =

Answer is not case sensitive.

3 degrees

The graphing calculator program below uses synthetic division to compute the coefficients of the quotient and the remainder when a polynomial is divided by a linear binomial. When prompted by a question mark, input the degree of the polynomial (N), the constant R for r in the divisor x - r, and the coefficients (C) of the polynomial. Press ENTER on your calculator after each entry.

Use the program to find each quotient.

(a) (4x⁵ + 3x⁴ - 6x³ + 6x² - 8x + 8) (x + 2)

Enter a number. 1x4 + Enter a number. 2x3 + Enter a number. 3x2 + Enter a number. 4x + Enter a number. 5 +	Enter a number. 6
	x + Enter a number. 7

(b) (a⁴ + 2a³ - 7a² + 2a - 4) (a - 8)

Enter a number. 8a3 + Enter a number. 9a2 + Enter a number. 10a + Enter a number. 11 +	Enter a number. 12
	a + Enter a number. 13

(c) (x⁵ - 4x² - 20) (x - 5)

Enter a number. 14x4 + Enter a number. 15x3 + Enter a number. 16x2 + Enter a number. 17x + Enter a number. 18 +	Enter a number. 19
	x + Enter a number. 20