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    Performance Task in Mathematics 10: A R 3 N A

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    Nigel Garcia
    - The Red Cross contacted three big networks to help with medical assistance after a typhoon, and each network contacted three other organizations, which then contacted three more each, with all contacts made within 4 hours. - Using this method, 120 organizations would have been contacted within the 4 hours. - A table shows the exponential increase in organizations contacted each hour: 3 in the first hour, 9 in the second, 27 in the third, and 81 in the fourth. - An equation is given to represent the situation: a1=3, r=3, and the general equation is an=3(3)n-1.

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    Performance Task in Mathematics 10: A R 3 N A

    Uploaded by

    Nigel Garcia
    371 views2 pages
    - The Red Cross contacted three big networks to help with medical assistance after a typhoon, and each network contacted three other organizations, which then contacted three more each, with all contacts made within 4 hours. - Using this method, 120 organizations would have been contacted within the 4 hours. - A table shows the exponential increase in organizations contacted each hour: 3 in the first hour, 9 in the second, 27 in the third, and 81 in the fourth. - An equation is given to represent the situation: a1=3, r=3, and the general equation is an=3(3)n-1.

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    - The Red Cross contacted three big networks to help with medical assistance after a typhoon, and each network contacted three other organizations, which then contacted three more each, with all contacts made within 4 hours. - Using this method, 120 organizations would have been contacted within the 4 hours. - A table shows the exponential increase in organizations contacted each hour: 3 in the first hour, 9 in the second, 27 in the third, and 81 in the fourth. - An equation is given to represent the situation: a1=3, r=3, and the general equation is an=3(3)n-1.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    371 views2 pages

    Performance Task in Mathematics 10: A R 3 N A

    Uploaded by

    Nigel Garcia
    - The Red Cross contacted three big networks to help with medical assistance after a typhoon, and each network contacted three other organizations, which then contacted three more each, with all contacts made within 4 hours. - Using this method, 120 organizations would have been contacted within the 4 hours. - A table shows the exponential increase in organizations contacted each hour: 3 in the first hour, 9 in the second, 27 in the third, and 81 in the fourth. - An equation is given to represent the situation: a1=3, r=3, and the general equation is an=3(3)n-1.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    Group #: 3 Date: 10/13/2020

    Members: Garcia, Camara, Boquiron


    Manitas, Cadavis

    Performance Task in Mathematics 10

    Because of the super typhoon Yolanda, there was a big need for blood donors, medicines, doctors,
    nurses, medical aides, or any form of medical assistance. The Red Cross planned to involve different
    agencies, organizations, and offices, public and private, local and international, in their project to have
    massive medical services. The Red Cross contacted first three of the biggest networks, and each of these
    networks contacted three other networks, agencies, organizations, and offices, and so on, until enough
    of these were contacted. It took one hour for an organization to contact three other organizations and
    all the contacts made were completed within 4 hours. Assume that no group was contacted twice.

    1. Suppose you are one of the people in the Red Cross who visualized this project. How many
    organizations do you think were contacted within 4 hours?

    - In 4 hours, 120 organizations would be contacted.

    2. Make a table to represent the number of organizations who could have been contacted in each
    round. (Note: One hour is equivalent to one round.)

    Round Number of organizations contacted


    1 3
    2 9
    3 27
    4 81

    3. Write an equation to represent the situation. Let the independent variable be the number of rounds
    and the dependent variable be the number of organizations that were contacted in that round.

    a 1=3 (3 organizations in the first hour)

    r =3 (3 organizations are contacted by each organization in an hour)


    n=¿ number of hours
    n−1
    Therefore, the final equation would be a n=3(3) .

    To find how many organizations were contacted within a certain time period, we can use the formula

    a 1( 1−r n )
    Sn =
    1−r
    4. If another hour was used to contact more organizations, how many additional organizations could be
    contacted?
    - There would be 363 organizations if they used another hour.

    5. Use the given situation above as your guide to formulate problem involving sequences. (Note: any
    types of sequences)

    In 2020 of October, the number of COVID-19 patients in Surigao City is 10. As people and the
    government are not following the necessary protocols to decrease spreading of the virus, it is estimated
    that the number of patients will increase by 50% next month. How many COVID-19 patients would
    Surigao City have in November?

    6. Write the necessary equations that describe the situations or problems that you formulated.

    a 1=10 (number of initial patients)

    r =( 1+ R )
    r =( 1+ 0.5 )
    r =1.5
    n=¿ number of months
    n−1
    Therefore, the equation used will be a n=10(1. 5)

    7. Solve the problems that you formulated.

    How many COVID-19 patients by the November?

    a 2=10(1.5)2−1

    a 2=10(1.5)
    a 2=15

    There would be 15 COVID-19 patients by next month in Surigao City.

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