Print Activity for ALGEBRA

Algebra Print Activity

As you work through the Video Interactive, answer the following questions.

1. What do the variables R and n represent?

R = n =

2. a. How many records did the DJ sell?

b. What is the cost per record? $

c. What is the equation relating R and n? =

d. Determine the revenue using your equation from the previous question. = ( ) Revenue = $

e. The graph drawn on the left side of the screen is called a

(bar/line/circle) graph and it appears(above/below) the $0 line.

f. What amount is labeled on the black bar? $ What quantity does it represent?

3. What do the variables T and n represent?

T = n =

4. a. How many records did the DJ produce?

b. What is the cost to produce each record? $

c. What is the cost of the DJ’s equipment? $

Junior High Math Interactives Page 1 of 5 2005 Alberta Education (www.LearnAlberta.ca)

Patterns and Relations / Algebra / Video Interactive / Print Activity

d. What is the equation relating T and n? = +

e. Determine the total expenses using your equation from the previous question. = + ( )

Total Expenses = $

f. The new bar that appears on the graph drawn on the left side of the screen

appears (above/below) the $0 line.

g. What amount is labeled on the red bar? $ What quantity does it represent?

5. a. Complete the following statement.

Profit = - (Revenue/Expenses) (Revenue/Expenses)

b. Determine the DJ’s total profit by completing the equation. - Profit =

Profit = $

c. The graph animates to display a solid bar which represents the . This solid bar appears the (revenue/expenses/profit) (red/black) (above/below)

$0 line which indicates the profit is (positive/negative/zero) .

Using the Video Interactive as a guide, answer the following questions.

6. a. The DJ sells 50 records at $8 each. His revenue, R dollars, can be represented by the formula R = 8n, where n is the number of records sold. Determine the revenue using the equation.

R = 8n R = 8 ( )

Revenue = $ b. The DJ produced 50 records at a cost of $3 each and his equipment cost

$62. His total expenses, T dollars, can be represented by the formula T = 62 + 3n, where n is the number of records produced. Determine the expenses using the equation.

T = 62 + 3n T = 62 + 3 ( )

Total Expenses = $

c. Determine the DJ’s total profit using the equation.

Profit = Revenue – Expenses Profit = -

Profit = $

d. The final animated graph would appear as a solid (red/black) bar (above/below)

the $0 line which indicates that the profit is(positive/negative/zero) .

R = 4n R = 4 ( )

Revenue = $

b. The DJ produced 60 records at a cost of $7 each and his equipment cost $43. His total expenses, T dollars, can be represented by the formula T = 43 + 7n, where n is the number of records produced. Determine the expenses using the equation.

T = 43 + 7n T = 43 + 7 ( )

Total Expenses = $

Profit = $

d. The final animated graph would appear as a solid (red/black) bar (above/below)

the $0 line which indicates the profit is (positive/negative/zero) .

R = 8n R = 8 ( )

Revenue = $

b. The DJ produced 50 records at a cost of $6 each and his equipment cost $100. His total expenses, T dollars, can be represented by the formula T = 100 + 6n, where n is the number of records produced. Determine the expenses using the equation.

T = 100 + 6n T = 100 + 6 ( )

Total Expenses = $

Profit = $

d. The final animated graph would disappear to indicate that the profit is

(positive/negative/zero) .