Question

1. find the c.o.p. of this table:

Explanation:

Step1: Define C.O.P. (Constant of Proportionality)

The constant of proportionality $k$ is found by $\frac{\text{Applications}}{\text{Minutes}}$ for each pair.

Step2: Calculate $k$ for first pair

$\frac{27}{9} = 3$

Step3: Calculate $k$ for second pair

$\frac{4}{2} = 2$

Step4: Calculate $k$ for third pair

$\frac{21}{7} = 3$

Step5: Calculate $k$ for fourth pair

$\frac{8}{4} = 2$

Step6: Identify consistent proportionality

There are two distinct constants: 3 and 2, depending on the group of values.

Answer:

There are two constants of proportionality: 3 (for the pairs (9,27) and (7,21)) and 2 (for the pairs (2,4) and (4,8)). The table has no single overall constant of proportionality.