expressions continued\n8 a teacher writes the algebraic expression ( 24c + 5m + 19.99 ) to represent the…

expressions continued\n8 a teacher writes the algebraic expression ( 24c + 5m + 19.99 ) to represent the cost of supplies she buys for her classroom. she buys 24 packages of colored pencils, 5 packages of markers, and a beanbag chair. identify any variables, coefficients, and terms in the expression. tell what each represents.\n9 write a situation that could be represented by the algebraic expression ( 3x + 2.15 ).

expressions continued\n8 a teacher writes the algebraic expression ( 24c + 5m + 19.99 ) to represent the cost of supplies she buys for her classroom. she buys 24 packages of colored pencils, 5 packages of markers, and a beanbag chair. identify any variables, coefficients, and terms in the expression. tell what each represents.\n9 write a situation that could be represented by the algebraic expression ( 3x + 2.15 ).

Answer

Explanation:

Step1: Analyze the expression (24c + 5m+19.99)

  • Variables: (c) and (m). (c) represents the cost of one package of colored pencils, (m) represents the cost of one package of markers.
  • Coefficients: 24 and 5. 24 is the coefficient of (c) (it means there are 24 packages of colored pencils), 5 is the coefficient of (m) (it means there are 5 packages of markers).
  • Terms: (24c), (5m), and (19.99). (24c) is the cost of colored - pencils packages, (5m) is the cost of marker packages, (19.99) is the cost of the bean - bag chair (a constant term).

Step2: Create a situation for (3x + 2.15)

Let's say (x) represents the cost of one notebook. A student buys 3 notebooks and a pen that costs (2.15) dollars. The total cost of the purchase is represented by the algebraic expression (3x + 2.15).

Answer:

  • For the expression (24c + 5m + 19.99):
    • Variables: (c) (cost of one package of colored pencils), (m) (cost of one package of markers).
    • Coefficients: 24 (number of colored - pencil packages), 5 (number of marker packages).
    • Terms: (24c) (cost of colored - pencil packages), (5m) (cost of marker packages), (19.99) (cost of bean - bag chair).
  • For the expression (3x + 2.15): A student buys 3 notebooks (where (x) is the cost of one notebook) and a pen that costs (2.15) dollars. The total cost is (3x + 2.15).