5
QuizMultiple Choice

Modeling with Systems of Linear Inequalities

Question 5 • PBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S1_2023

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age.Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age.Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3

Answer
A
Inequality 1 is incorrect; it should be g ≤ 80.
B
Inequality 1 is incorrect; it should be g ≥ 80.
C
Inequality 2 is incorrect; it should be g < 3k – 3.
D
Inequality 2 is incorrect; it should be g ≥ 3k – 3.
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