Question

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Answer 1

Answer:

10). Proportional

11). Not proportional

Step-by-step explanation:

10) Let the relation between time (t) and heart beats (b) is proportional,

    h ∝ t

    h = kt

    here, k = proportionality constant

    Since, the graph of the equation is passing through a point a (4, 6),

    6 = 4k

    k = $\frac{6}{4}$

    k = 1.5

    So the equation will be,

    h = 1.5t

   Since, all the points (6, 9), (10, 15)and (12, 18) follow the same relation represented by the equation, relationship is proportional.

11). Let the relationship shown by the table is proportional,

   y ∝ x

   y = kx [Here, k = proportionality constant]

   k = $\frac{y}{x}$

   This constant should be same for all points given in the table.

   For (4, 25),

   k = $\frac{25}{4}$

   For (0, 5),

   k = $\frac{5}{0}$

   This shows 'k' is not same for all points.

   Therefore, relationship between x and y is not proportional.