Astore 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?

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

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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