Answer:
K = 3
This means for increase / decrease in quantity of mug there is equivalent increase/decrease in the price by a factor of 3
Step-by-step explanation:
Let the number of jugs be represented by x
Costs be C in dollars($)
The table fan be interpreted as this;
If 5mugs cost $15
1mug will cost $15/5 = $3
Similarly,
If 10mugs costs $30
1mug will cost $30/10 = $3
As you can see that for each number of mug and their price, their unit price is always equal.
Thus shows that there is a direct variation between the number of mugs and their price.
C ∝ x
C = kx where k is the proportionality constant
k = C/x
When x = 5, C = $15
k = 15/5
k. = 3
The constant of proportionality is 3 i.e for increase / decrease in quantity of mug there is equivalent increase/decrease in the price by a factor of 3
