Section 3.1 – Relations

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  • 1/15 Questions

    The ___________________ axis can be also called the x-axis.  

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About This Quiz

This quiz covers linear relations and functions, focusing on practical applications like cost calculations and coordinate systems.

Section 3.1 Relations - Quiz

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  • 2. 

    When the graph of a relation is a straight line, the relationship is called __________

    Explanation
    When the graph of a relation is a straight line, it means that there is a constant rate of change between the variables. This type of relationship is called linear because it follows a straight line pattern. In a linear relationship, as one variable increases, the other variable also increases or decreases at a constant rate. This can be represented by a linear equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

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  • 3. 

    Raplh works as a painter and charges $30 for an estimate and $20 / hour for his labour.  If someone hires him for 5 hours, how much does he roughly charge?

    • $140

    • $135

    • $130

    • $125

    • None of the above

    Correct Answer
    A. $130
    Explanation
    Ralph charges $30 for an estimate and $20 per hour for his labor. If someone hires him for 5 hours, the estimate cost of $30 is added to the labor cost of $20/hour for 5 hours. Therefore, the total charge would be $30 + ($20/hour * 5 hours) = $30 + $100 = $130.

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  • 4. 
     Which equation represents the relation shown in the table of values? - ProProfs

     Which equation represents the relation shown in the table of values?

    • Y = -4x - 1

    • Y = 4x + 1

    • Y = x + 1

    • Y = x + 4

    Correct Answer
    A. Y = 4x + 1
    Explanation
    The equation y = 4x + 1 represents the relation shown in the table of values because it follows the pattern of increasing the value of y by 4 for every increase of 1 in x, and also includes the initial value of y as 1 when x is 0.

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  • 5. 

    Name the quadrant where the x-coordiante is negative and the y-coordinate is positive.

    • 1st quadrant

    • 2nd quadrant

    • 3rd quadrant

    • 4th quadrant

    • None of the above

    Correct Answer
    A. 2nd quadrant
    Explanation
    The second quadrant is where the x-coordinate is negative and the y-coordinate is positive. In this quadrant, the x-values are less than zero and the y-values are greater than zero.

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  • 6. 
    The graph above shows the relationship between the side length of a square and the perimeter of the square.  Use interpolation to determine the area of a square with a side length 8cm,  Which choice represents the area? (let the x-axis represent the side length and the y-axis represent the area) - ProProfs

    The graph above shows the relationship between the side length of a square and the perimeter of the square.  Use interpolation to determine the area of a square with a side length 8cm,  Which choice represents the area? (let the x-axis represent the side length and the y-axis represent the area)

    • 25 cm^2

    • 49 cm^2

    • 64 cm^2

    • 81 cm^2

    Correct Answer
    A. 64 cm^2
  • 7. 

    Joe works for Future Shop and fixes TV's.  He charges a $50 base fee and then $30 for each hour worked.  What would be the dependent variable for this situation?

    • $50

    • $30 / hour

    • Cost

    • Hours

    • None of the above

    Correct Answer
    A. Cost
    Explanation
    The dependent variable in this situation would be the cost. The cost is dependent on the number of hours worked, as well as the base fee. The base fee of $50 is a fixed cost, while the additional $30 for each hour worked is a variable cost. Therefore, the cost is the dependent variable as it varies depending on the number of hours worked.

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  • 8. 

    Susie works at a clothing store and earns a base salray of $100 per week.  She also makes $2.00 commision for every article of clothing she sells.  What would the equation be to represent her weekly pay if "E" represents her earnings per week and "c" represents every artical of clothing she sells?

    • E = 2c + 100

    • E = 100c + 2

    • E = 100 + 0.2c

    • E = 2 + 100c

    • None of the above

    Correct Answer
    A. E = 2c + 100
    Explanation
    The equation E = 2c + 100 represents Susie's weekly pay. The variable "E" represents her earnings per week, and "c" represents the number of articles of clothing she sells. The equation indicates that her earnings consist of a base salary of $100 per week plus a commission of $2.00 for every article of clothing she sells.

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  • 9. 
    Which equation represents the relation shown on the graph? - ProProfs

    Which equation represents the relation shown on the graph?

    • Y = -2x + 4

    • Y = 2x + 4

    • Y = x + 4

    • Y = -x + 4

    Correct Answer
    A. Y = 2x + 4
    Explanation
    The equation y = 2x + 4 represents the relation shown on the graph because it has a slope of 2, indicating that the line rises 2 units for every 1 unit it moves to the right. The y-intercept is 4, indicating that the line intersects the y-axis at the point (0, 4). This matches the behavior of the line on the graph, which rises at a steep slope of 2 and intersects the y-axis at y = 4.

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  • 10. 

    Which of these ordered pairs are points on the graph of y = -5x + 2

    • (1, 3)

    • (-1, 7)

    • (-2, -8)

    • (4, 22)

    Correct Answer
    A. (-1, 7)
    Explanation
    The correct answer is (-1, 7) because when we substitute x = -1 into the equation y = -5x + 2, we get y = -5(-1) + 2 = 7. Therefore, the ordered pair (-1, 7) is a point on the graph of y = -5x + 2.

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  • 11. 
     Which equation represents the relation shown in the table of values? - ProProfs

     Which equation represents the relation shown in the table of values?

    • Y = x + 10

    • Y = -3x - 4

    • Y = 3x + 4

    • Y = -3x + 4

    Correct Answer
    A. Y = -3x + 4
    Explanation
    The equation y = -3x + 4 represents the relation shown in the table of values because it follows the pattern of the given values. When x = 0, y = 4, and when x = 1, y = 1, which matches the values in the table. Additionally, the equation has a slope of -3, which is consistent with the rate of change in the table.

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  • 12. 

    Which of these ordered pairs are points on the graph of y = 3x - 6

    • (2, 1)

    • (-3, 3)

    • (-1, -3)

    • (6, 12)

    Correct Answer
    A. (6, 12)
    Explanation
    The ordered pair (6, 12) is a point on the graph of y = 3x - 6 because when we substitute x = 6 into the equation, we get y = 3(6) - 6 = 18 - 6 = 12. Therefore, the point (6, 12) satisfies the equation and lies on the graph.

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  • 13. 
    The graph above shows the relationship between the earnings Jay received and the hours be worked per week.  Use interpolation to determine the earnings Jay received for working 20 hours.  Which choice represents the earnings? (let the x-axis represent hours worked and the y-axis represent the his earnings) - ProProfs

    The graph above shows the relationship between the earnings Jay received and the hours be worked per week.  Use interpolation to determine the earnings Jay received for working 20 hours.  Which choice represents the earnings? (let the x-axis represent hours worked and the y-axis represent the his earnings)

    • $175

    • $190

    • $200

    • $225

    Correct Answer
    A. $190
    Explanation
    The graph above shows the relationship between Jay's earnings and the hours he worked per week. By using interpolation, we can estimate Jay's earnings for working 20 hours. Looking at the graph, we can see that the line connecting the points for 15 hours and 25 hours intersects with the y-axis at approximately $190. Therefore, the correct answer is $190.

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  • 14. 
    Which equation represents the relation shown on the graph? - ProProfs

    Which equation represents the relation shown on the graph?

    • Y = -2x + 18

    • Y = 2x + 18

    • Y = -4x + 18

    • Y = 4x + 18

    Correct Answer
    A. Y = -4x + 18
    Explanation
    The equation y = -4x + 18 represents the relation shown on the graph because it has a negative slope of -4, which matches the steepness of the line on the graph. The y-intercept of 18 also matches the point where the line intersects the y-axis on the graph. Therefore, this equation accurately represents the relationship between x and y shown on the graph.

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  • 15. 
     Which graph represents the relation shown in the above table? - ProProfs

     Which graph represents the relation shown in the above table?

    • Top - Left

    • Top - Right

    • Bottom - Left

    • Bottom - Right

    Correct Answer
    A. Top - Left
    Explanation
    The graph that represents the relation shown in the above table is the Top - Left graph.

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  • Current Version
  • Feb 02, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 30, 2008
    Quiz Created by
    Seixeiroda
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