AnswersCommon Core Algebra I - MA3109 A-ICPerformance Task: Construct and Analyze Piecewise Functions — Cumulative examQuestion 46
46
QuizMultiple Choice

Performance Task: Construct and Analyze Piecewise Functions — Cumulative exam

Question 46 • Common Core Algebra I - MA3109 A-IC

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

Answer
A
0.7(t) = t – 4 – 2
B
0.7(t) = t + 4 + 2
C
0.7t(4 + 2) = t
D
0.7(t + 4 + 2) = t

Explanation

The total backpack weight is the weight of the textbooks, t, plus 4 pounds of notebooks and the 2-pound backpack, so the total is t + 4 + 2. Textbooks make up 70% of that total, which is 0.7(t + 4 + 2). This amount equals t, so the correct choice is D.

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