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Difficulty: EasyBasic Algebraic Expressions and One-Step Equations

An online streaming service charges a flat monthly subscription fee of $12\$12 plus $2.50\$2.50 for each premium movie rented. The total monthly cost, in dollars, for a user who rents mm premium movies is represented by the expression 12+2.50m12 + 2.50m. What is the total monthly cost, in dollars, for a user who rents 66 premium movies?

  1. A
    $15.00\$15.00
  2. B
    $20.50\$20.50
  3. $27.00\$27.00Answer
  4. D
    $74.50\$74.50
  5. E
    $87.00\$87.00

Answer

$27.00\$27.00
The correct answer is $27.00\$27.00. To find the total monthly cost when a user rents 66 premium movies, we substitute m=6m = 6 into the given expression 12+2.50m12 + 2.50m. Applying the order of operations, we first perform the multiplication: 2.50×6=152.50 \times 6 = 15. Next, we add the flat monthly fee: 12+15=2712 + 15 = 27. Therefore, the total monthly cost is $27.00\$27.00.

Step-by-Step Solution

1
Identify the given algebraic expression for the monthly cost and the value to substitute.
Expression: 12+2.50m12 + 2.50m; value of mm: 66
The variable mm represents the number of premium movies rented, which is given as 66 in the question.
2
Substitute m=6m = 6 into the expression.
Expression becomes 12+2.50(6)12 + 2.50(6)
Substitution allows us to evaluate the expression for the specific scenario described.
3
Apply the order of operations by performing multiplication before addition.
2.50×6=152.50 \times 6 = 15
Multiplication must be completed before addition according to arithmetic rules.
4
Add the flat fee to the total movie rental cost.
12+15=2712 + 15 = 27
This completes the evaluation of the expression, yielding the total monthly cost of $27.00\$27.00.

Key Concept

Evaluating algebraic expressions
Estimated Time:45s
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Topics

Basic Algebraic Expressions and One-Step Equations

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