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Difficulty: MediumBasic Algebraic Expressions and One-Step Equations

A digital audio engineer uses a software tool where the total duration tt, in seconds, of an electronic music composition is modeled by the equation t=b2.4t = \frac{b}{2.4}, where bb represents the total number of beats in the track. If a composition has a total duration of 180180 seconds, what is the total number of beats, bb, in the track?

  1. A
    7575
  2. B
    177.6177.6
  3. C
    252252
  4. 432432Answer
  5. E
    450450

Answer

The total number of beats in the track is 432432.
To solve for bb in the one-step equation 180=b2.4180 = \frac{b}{2.4}, multiply both sides of the equation by 2.42.4. Performing 180×2.4180 \times 2.4 yields 432432, which is the total number of beats in the track.

Step-by-Step Solution

1
Substitute the given duration into the formula
180=b2.4180 = \frac{b}{2.4}
The track duration tt is given as 180180 seconds.
2
Isolate the variable bb by multiplying both sides by 2.42.4
b=180×2.4=432b = 180 \times 2.4 = 432
Multiplication is the inverse operation of division.

Key Concept

Solving one-step linear equations involving division by isolating the variable using multiplication.
Estimated Time:1m 0s
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Topics

Basic Algebraic Expressions and One-Step Equations

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