AnswersFinancial MathSystems of Linear Functions in Financial Contexts

Systems of Linear Functions in Financial Contexts — Quiz Answers

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Harper has two jobs. Job 1 pays $⁢10 per hour and job 2 pays $⁢15 per hour. If Harper worked a total of 20 hours and earned $⁢250 , which system of equations can be used to determine how many hours Harper worked at each job?

A
10 x plus 10 y is equal to 20 15 x plus 10 y is equal to 250
B
x plus y is equal to 20 10 x plus 15 y is equal to 250
C
x plus 2 y is equal to 20 10 x plus 15 y is equal to 250
D
x plus y is equal to 250 10 x plus 15 y is equal to 20
4

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?

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.
6

Oliver and Sophia both buy pencils and pens for school. Let x represent the cost of pencils and y represent the cost of pens. Oliver buys 6 pencils and 4 pens, spending $⁢14 Sophia buys 8 pencils and 3 pens, spending $⁢14 Which system of equations represents the situation?

A
6⁢x+2⁢y=14 8⁢x+y=14
B
6 x plus 4 y is equal to 14 8 x plus 3 y is equal to 14
C
x plus 2 y is equal to 14 2 x plus y is equal to 14
D
4 x plus 6 y is equal to 14 3 x plus 8 y is equal to 14
10

Kaitlyn and a friend decide to share the cost of a subscription service. Kaitlyn pays twice as much as her friend. If the total cost of the subscription is $⁢30 , the system of equations representing the scenario is: x plus y is equal to 30 x is equal to 2 y x represents the amount paid by Kaitlyn and y represents the amount paid by her friend. Which of the following statements correctly interprets the y -intercept of equation x plus y is equal to 30 ?

A
The y -intercept represents the total amount both Kaitlyn and her friend combined would pay for the subscription.
B
The y -intercept represents Kaitlyn's friend paying the entire subscription cost of 30 dollars while Kaitlyn pays nothing.
C
The y -intercept suggests that if Kaitlyn's friend pays 30 dollars, Kaitlyn would also pay 30 dollars.
D
The y -intercept indicates that Kaitlyn's friend's contribution is half the total subscription cost.

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