Question

Look at the ratios for company a in the example. what is the constant of proportionality and what does it mean

numbers of mug 5,10,25,50
cost$ 15,30,75,150

Answer 1

The constant is $3 per mug

Divide the cost of the mug by the number

Explanation:

Answer 2

K = 3

This means for increase / decrease in quantity of mug there is equivalent increase/decrease in the price by a factor of 3

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