Answer:
constant of variation = 3
Explanation:
Given that a store is selling different candies costing $.50, $1, $1.50, $2, and $3 per kilogram.
As given
Amount available to buy candies = $ 3
Suppose
Unit price of candies = x
Number of candies bough = y
Constant of variation = k
As we know the unit price of candies and number of candies bought vary inversely. As the unit price would increase the the number of candies bought in available amount ($3) would decrease.
So our formula to calculate formula for constant of variation would be as shown below:
k= xy →(1
Case 1
if we take unit price x to be $0.5, then we can buy 6 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (0.5)(6) = 3
Case 2
if we take unit price x to be $1, then we can buy 3 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (1)(3) = 3
Case 3
if we take unit price x to be $1.5, then we can buy 2 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (1.5)(2) = 3
Case 4
if we take unit price x to be $2, then we can buy 1.5 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (2)(1.5) = 3
Case 4
if we take unit price x to be $3, then we can buy 1 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (3)(1) = 3
So, our constant of variation is 3.