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Introduction to Graphs Test - 12

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Introduction to Graphs Test - 12
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  • Question 1
    1 / -0

    Directions For Questions

    The following line graph gives the annual percent profit earned by a Company during the period $$1995 - 2000.$$

    ...view full instructions

    In which year is the expenditure minimum?

    Solution
    The line graph gives the comparison of percent profit for different years but the comparison of the expenditures is not possible without more data.
    Therefore, the year with minimum expenditure cannot be determined.
  • Question 2
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    Directions For Questions

    The number of hours for which students of a particular class watched television during holidays is shown through the given graph.
    Answer the following questions:

    ...view full instructions

    The number of students spent more than $$5$$ hours in watching TV , is _____ .

    Solution
     Hours of TV WatchedNumber of Students
                             1-2 4
                             2-3 8
                             3-4 22
                             4-5 32
                             5-6 8
                             6-7 6
                    
    As clearly seen from the Graph and Corresponding Table,

    Number of Students who spent more than $$5$$ Hours in watching T.V $$=$$ Number of Students lying in Category $$5$$-$$6$$ and $$6$$-$$7$$ $$=$$ $$8 + 6 = 14$$
  • Question 3
    1 / -0
    The cartesian system is named in honour of the Mathematician _____.
    Solution
    The Cartesian coordinate system named in honor of the French philosopher and mathematician René Descartes (1596—1650).
  • Question 4
    1 / -0
    The line graph shows the amount of water used by Jamie from March to July. Express the amount of water used in June as a fraction of the total amount of water used.

    Solution
    Total amount of water used = $$20+15+30+40+35=140$$L
    Amount of water used in june=$$40$$L
    Amount of water used in June to the total amount of water=$$\dfrac{40}{140}=\dfrac{2}{7}$$
  • Question 5
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    ________ lies on X-axis.
    Solution
    The point which lies an x-axis has its y-co-ordinate zero,
    $$\therefore (5, 0)$$ lies on x-axis.
  • Question 6
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    Data was collected on a student's typing rate and graph was drawn as shown below. Approximately how many words had this student typed in $$30$$ seconds?

    Solution
    The correct answer is option (c). approximately $$28$$ words were typed in $$30$$ seconds.
  • Question 7
    1 / -0
    The point at which the two coordinate axes meet is called the 
    Solution
    The points at which the two coordinate axes meets is called the origin.
    Hence, $$\left(C\right)$$ is the correct answer.
  • Question 8
    1 / -0
    A graph that displays data that changes continuously over periods of time is
    Solution
    The correct answer is option (d). Line graph is a way to compare and represent the data. It displays the relation among two varying quantities.
  • Question 9
    1 / -0

    Directions For Questions

    Draw the graphs for the following tables of values, with suitable scales on the axes.
    Interest on deposits for a year is given in the following table:
    Deposit (in Rs)$$1000$$
    $$2000$$
    $$3000$$
    $$4000$$
    $$5000$$
    Simple Interest (in Rs)
    $$80$$
    $$160$$
    $$240$$
    $$320$$
    $$400$$

    ...view full instructions

    To get an interest of Rs $$280$$ per year, how much money should be deposited?
    Solution

    From the above graph, we can notice that, to get an interest of $$280$$ rupees per year, the money to be deposited is $$3500$$ rupees (approximately).

  • Question 10
    1 / -0

    Directions For Questions

    Draw the graphs for the following tables of values, with suitable scales on the axes.
    Interest on deposits for a year is given in the following table:
    Deposit (in Rs)$$1000$$
    $$2000$$
    $$3000$$
    $$4000$$
    $$5000$$
    Simple Interest (in Rs)
    $$80$$
    $$160$$
    $$240$$
    $$320$$
    $$400$$

    ...view full instructions

    Use the graph to find the interest on Rs $$2500$$ for a year.
    Solution

    From the above graph, we can observe that simple interest on $$Rs. 2500$$ rupees is $$Rs. 200$$ rupees which is marked as black point in the graph.

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