Answer:
The constant of variation is -2.
Step-by-step explanation:
The total amount spent buying candies = $3
When the cost of candies is $0.50/kg, Amount of candies bought= 3/0.5=6kg
When the cost of candies is $1/kg, Amount of candies bought= 3/1=3kg
When the cost of candies is $1.50/kg, Amount of candies bought= 3/1.50=2kg
When the cost of candies is $2/kg, Amount of candies bought= 3/2=1.5kg
When the cost of candies is $3/kg, Amount of candies bought= 3/3=1kg
Here we see that, as the price doubles, the amount of candy halves.
Unit price of candies ∝ 1/(Amount of candies), the amount spent on candies is constant.
Constant of variation = (Difference in unit price of candies)/(Difference in the amount of candies)
The difference in the unit price of candies = 3-2=1
The difference in the amount of candies = 1-1.5=-0.5
Constant of variation = 1/(-0.5) =-2
The negative sign indicates the inverse proportionality.
