Question

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

x	y
2	11
3	16.5
4	22

Explanation:

Step1: Recall COP formula

The Constant of Proportionality (COP) is calculated as \( \text{COP} = \frac{y}{x} \) for a proportional relationship.

Step2: Calculate using first pair

For \( x = 1 \) and \( y = 5.5 \), \( \text{COP} = \frac{5.5}{1} = 5.5 \).

Step3: Verify with second pair

For \( x = 2 \) and \( y = 11 \), \( \text{COP} = \frac{11}{2} = 5.5 \).

Step4: Verify with third pair

For \( x = 3 \) and \( y = 16.5 \), \( \text{COP} = \frac{16.5}{3} = 5.5 \).

Step5: Verify with fourth pair

For \( x = 4 \) and \( y = 22 \), \( \text{COP} = \frac{22}{4} = 5.5 \).

Answer:

The Constant of Proportionality (COP) is \( 5.5 \).