Answer and Explanation:
Given : A store sells different kinds of candy at $1, $1.50, $2, and $3 per kilogram.
To find : How many kilograms of each kind of candy does $3 buy?
Explain why the price of 1 kg and the amount of candy that $3 can buy are inversely proportional quantities?
Solution :
The total amount spent on buying candies is $3.
A store sells different kinds of candy at $1, $1.50, $2, and $3 per kilogram.
When the cost of candies is $1 per kg.
Amount of candies bought is [tex]\frac{3}{1}=3\ kg[/tex]
When the cost of candies is $1.50 per kg.
Amount of candies bought is [tex]\frac{3}{1.50}=2\ kg[/tex]
When the cost of candies is $2 per kg.
Amount of candies bought is [tex]\frac{3}{2}=1.5\ kg[/tex]
When the cost of candies is $3 per kg.
Amount of candies bought is [tex]\frac{3}{3}=1\ kg[/tex]
[tex]\text{Unit price of candies}\propto\frac{1}{\text{Amount of candies}}[/tex]
The amount spent on candies is constant.
[tex]\text{Constant of variation}=\frac{\text{Difference in unit price of candies}}{\text{Difference in the amount of candies}}[/tex]
The difference in the unit price of candies = 3-2=1
The difference in the amount of candies = 1-1.5=-0.5
[tex]\text{Constant of variation}=\frac{1}{-0.5}=-2[/tex]
The negative sign indicates the inverse proportionality.
Answer:
1/3, 2, 1.5 and 1
Step-by-step explanation:
This is simple!
Answer 1: 1/3
1 divided by 3
Answer 2: 2
3 divided by 1.5 is 2
Answer 3: 1.5
3 divided by 2 is 1.5
Answer 4: 1
3 divided by 3 is 1
I hope you can understand this.
Cheers!
