Math 1101

Exam # 1A, Fall 01

Name____________________________________

#1) Which of the following equations or tables define y as a function of x?

iii)

x

y

0

1

1

1

2

1

3

1

iv)

x

y

1

0

1

1

1

2

1

3

#2) Find the equation of the line with slope -200 and y-intercept equal to 3000.

Answer___________________

#3) If the Greasy Spoon restaurant charged nothing for their bowls of chili the restaurant could give 3000 bowls of chili away each day. Each time the price of a bowl of chili is raised $1.00 the number of bowls sold decreases by 200.

  1. Express the number, N, of bowls of chili sold each day as a linear function of price, P.

    2. Answer___________________

  2. Determine the increase in sales when the price of a bowl of chili is decreased by $1.00

    3. Answer___________________

     

  3. At what price will the restaurant be unable to sell any bowls of chili?

Answer___________________

#4) Find the equation of the line through the points (600,700) and (700,660).

Answer___________________

#5) An unit apartment complex can rent 700 units when the monthly rent is $700 and 660 units when the monthly rent is $700 per unit.

  1. Assuming that the number of units rented decreases at a constant rate as the rent increases, express the number, N, of units rented as a linear function of the rent, r.

    2. Answer___________________

  2. Determine the number of units that would be occupied if the owners of the complex decided to charge zero rent.

    3. Answer___________________

  3. Determine the rent at which none of the units will be occupied?

Answer___________________

#6) The following table lists the price, P, of a single share of Hype.com on January, 1 of the indicated years.

Year

1997

1998

1999

2000

Price

$1.00

$35.00

$75.00

$105.00
  1. Find the linear model, P(t) = mt + B , with t = 0 January 1, 1997, which best fits the above data set.

    2. Answer___________________

     

  2. Use the above model to complete the following table:

    3.

    Year

    1997

    1998

    1999

    2000

    Actual Price

    $1.00

    $35.00

    $75.00

    $105.00

    Predicted Price

    		        

    Error

    		        

     

  3. Compute the SSE, the sum of the squares of the errors.

    4. Answer___________________

  4. Compute the average error

    5. Answer___________________

  5. Find the month of the calendar year when the predicted price of the stock is $100 a share.

Answer___________________