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22 January, 18:10

For children between ages 4 and 18, height y (in inches) is frequently a linear function of age t (in years). The height of a certain child is 41 inches at age 4 and 44 inches at age 5.

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  1. 22 January, 19:15
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    height = 3*age + 29

    Step-by-step explanation:

    Let linear equation be

    height = m*age + c [m and c are independent constants]

    given

    41 inches age 4

    44 inches age 5

    put these data in above linear equation

    then,

    41 = m*4 + c ... (1)

    44 = m*5 + c ... (2)

    subtract (2) from (1)

    3 = m

    c = 29

    So, equation is

    height = 3*age + 29 (for all age group between 4 and 18)
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