Reference no: EM131021191

1. Complete the ordered pairs so that each is a solution for the given equation.

3x + 4y = 12;   (0,  ), (  , 3/4), (  ,0), (8/3,  )

2.  Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formulaF = (9/5)C + 32. What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: -10, 0, 15, 100?

3.  Business and finance. When x number of units are sold, the price of each unit (in dollars) is given by p = (-x/2) + 75. Find the unit price when the following quantities are sold: 2, 7, 9, 11.

4. Give the coordinates of the points graphed below.

5. Give the coordinates of the points graphed below.

6. Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given graph. What do you observe? Can you give the coordinates of another point with the same property?

7. Graph each of the following equations. (Please see the attached word document sheet it already has a template for a graph you can then copy and paste)

a.Y = (3/4)X + 2

b. 2x + 3y = 6

c. 2x - 3y = 12

8. Business and finance. The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item).

(a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.

(b) Graph the cost equation.

(c) The revenue generated from the sale of x items is given by R = 50x. Graph the revenue equation on the same set of axes as the cost equation.

(d) How many items must be produced for the revenue to equal the cost (the break-even point)?

9. Find the slope of the line through the following pairs of points.

(-5, -3) and (-5, 2)

10. Find the slope of the line through the given points.

a.

b.

11. Find the slope of the lines graphed.

12. Find the constant of variation k.

m varies directly with n; m = 144 when n =8.

13. Business and finance. The revenue for a sandwich shop is directly proportional to its advertising budget. When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?

14. Use the following table for the following problem

World Motor Vehicle Production, 1950-1997

Production (in thousands)

Year    United    States    Canada    Europe    Japan    Other World Total

1997    12,119     2,571      17,773     10,975          10,024       53,463

1996     11,799    2,397       17,550    10,346         9,241          51,332

1995     11,985    2,408       17,045     10,196         8,349         49,983

1994      12,263    2,321      16,195     10,554         8,167         49,500

1993     10,898      2,246     15,208     11,228         7,205         46,785

1992      9,729      1,961      17,628     12,499         6,269         48,088

1991      8,811      1,888      17,804     13,245         5,180          46,928

1990      9,783      1,928       18,866    13,487         4,496          48,554

1985      11,653      1,933     16,113    12,271         2,939          44,909

1980      8,010       1,324       15,496    11,043        2,692          38,565

1970      8,284       1,160      13,049     5,289          1,637           29,419

1960     7,905         398         6,837      482             866              16,488

1950       8,006       388         1,991       32             160               10,577

Note: As far as can be determined, production refers to vehicles locally manufactured.

Source: American Automobile Manufacturers Assn.

a. What was the percentage increase in motor vehicle production in countries outside the United States from 1950 to 1997?

b. Between 1950 and 1997, did the production of motor vehicles increase by a greater percentage in Canada or Europe?

15.The following pie chart represents the way a new company ships its goods. Use the information presented to complete exercise 12.

16. If the company shipped a total of 550 items last month, how many were shipped using second-day air freight?