A store sells candy at $.50, $1, $1.50, $2, and $3 per kilogram. You can see that the unit price of candies and the amount of candies that $3 buy vary inversely. What is the constant of variation?

Answer: The constant of variation is $3

Step-by-step explanation: With $3 you can buy:

1 kg of the $3 candy.

1.5 kg of the $2 candy.

2kg of the $1.5 candy

3kg of the $1 candy

6kg of the $0.5 candy.

The rate of variation is:

amount of candy = amount of money/price of the candy

In this case, the amount of money is $3 fixed, so the relation is:

Amount of candy = $3/price of the candy

then the constant of variation is $3

The answer is 3