AnswersFinancial MathSystems of Linear Functions in Financial Contexts — QuizQuestion 5
5
QuizMultiple Choice

Systems of Linear Functions in Financial Contexts — Quiz

Question 5 • Financial Math

Michael and Sarah decide to save money. Let x represent the number of days Michael saves and y represent the number of days Sarah saves. Michael saves $⁢10 every day and Sarah saves $⁢15 every day. After some time, Michael has saved $⁢70 and Sarah has saved $⁢105 Which system of equations represents the situation?

Answer
A
7⁢x=70 7⁢y=105
B
10⁢x=70 15⁢y=105
C
10⁢x=105 15⁢y=70
D
15⁢x=70 10⁢y=105

Explanation

Michael saves $10 each day, so after x days he has saved 10x dollars. Since his total is $70, his equation is 10x = 70. Sarah saves $15 each day, so after y days she has saved 15y dollars; her total gives 15y = 105. Together, these are choice B.

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