Name: 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 graph and it appears the $0 line. (bar/line/circle) f. 3. (above/below) What amount is labeled on the black bar? $ What quantity does it represent? 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 2005 Alberta Education (www.LearnAlberta.ca) Patterns and Relations / Algebra / Video Interactive / Print Activity Page 1 of 4 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 the $0 line. (above/below) 5. g. What amount is labeled on the red bar? $ What quantity does it represent? a. Complete the following statement. Profit = (Revenue/Expenses) b. (Revenue/Expenses) 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 (revenue/expenses/profit) (red/black) $0 line which indicates the profit is the (above/below) . (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 = $ Junior High Math Interactives 2005 Alberta Education (www.LearnAlberta.ca) Patterns and Relations / Algebra / Video Interactive / Print Activity Page 2 of 4 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 bar (red/black) the $0 line which indicates that the profit is (positive/negative/zero) 7. a. (above/below) . The DJ sells 60 records at $4 each. His revenue, R dollars, can be represented by the formula R = 4n, where n is the number of records sold. Determine the revenue using the equation. 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 = $ Junior High Math Interactives 2005 Alberta Education (www.LearnAlberta.ca) Patterns and Relations / Algebra / Video Interactive / Print Activity Page 3 of 4 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 bar (red/black) the $0 line which indicates the profit is 8. a. (positive/negative/zero) (above/below) . 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 $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 = $ c. Determine the DJ’s total profit using the equation. Profit = Revenue – Expenses Profit = Profit = $ d. The final animated graph would disappear to indicate that the profit is . (positive/negative/zero) Junior High Math Interactives 2005 Alberta Education (www.LearnAlberta.ca) Patterns and Relations / Algebra / Video Interactive / Print Activity Page 4 of 4