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 = [tex]\frac{6}{4}[/tex]
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 = [tex]\frac{y}{x}[/tex]
This constant should be same for all points given in the table.
For (4, 25),
k = [tex]\frac{25}{4}[/tex]
For (0, 5),
k = [tex]\frac{5}{0}[/tex]
This shows 'k' is not same for all points.
Therefore, relationship between x and y is not proportional.
