AnswersFinancial MathSystems of Linear Functions in Financial Contexts — QuizQuestion 4
4
QuizMultiple Choice

Systems of Linear Functions in Financial Contexts — Quiz

Question 4 • Financial Math

A high school drama club is fundraising for an upcoming event. They decide to sell custom designed t-shirts and hoodies. Each t-shirt cost $⁢15 and each hoodie cost $⁢25 In the first week, they sold a total of 50 items and made $⁢900 Which graph represents the t-shirts and hoodies sold? t plus h is equal to 50 15 t plus 25 h is equal to 900 Which graph represents this situation?

Answer
A
Image with description A graph shows the Number of T-shirts denoted by t on the x-axis labeled 20 to 60 in intervals of 20 and the Number of Hoodies denoted by h on the y-axis labeled 20 to 60 in intervals of 20. There are two parallel lines on the graph. The first line is below (20,20), and the second line is above (40,20).
B
Image with description A graph shows the Number of T-shirts denoted by t on the x-axis labeled 20 to 60 in intervals of 20 and the Number of Hoodies denoted by h on the y-axis labeled 20 to 60 in intervals of 20. Two lines on the graph intersect at a point near 40 on the x-axis and 20 on the y-axis.
C
Image with description A graph shows the Number of T-shirts denoted by t on the x-axis labeled 20 to 60 in intervals of 20 and the Number of Hoodies denoted by h on the y-axis labeled 20 to 60 in intervals of 20. Two lines on the graph intersect at a point near 20 on the x-axis and 40 on the y-axis.
D
Image with description A graph shows the Number of T-shirts denoted by t on the x-axis labeled 20 to 60 in intervals of 20 and the Number of Hoodies denoted by h on the y-axis labeled 20 to 60 in intervals of 20. There are two horizontal parallel lines on the graph. The first line is below 20 on the y-axis, and the second line is above 20 on the y-axis.

Explanation

The number of items gives t + h = 50, and the money raised gives 15t + 25h = 900. Substituting t = 50 − h into the money equation gives 15(50 − h) + 25h = 900, so h = 15 and t = 35. The two lines therefore intersect near (35, 15), which is closest to choice B, the graph with an intersection near 40 T-shirts and 20 hoodies.

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