Proportional Relationships and Inverses

What is true about two magnitudes that are inversely proportional?

• When one increases, the other increases in the same proportion.

• When one increases, the other decreases in the same proportion.

• When one decreases, the other increases by a constant amount.

• Their sum remains constant.

If 12 candies are to be distributed equally among children, and 2 children each receive 6 candies, how many candies would 4 children each receive?

• 6

• 4

• 3

• 2

When distributing a fixed number of candies among children, what happens to the number of candies each child receives as the number of children increases?

• It increases proportionally.

• It decreases proportionally.

• It remains the same.

• It increases by a fixed amount.

Two painters take 12 days to paint a house. What is the constant of proportionality for this task?

• 6

• 12

• 14

• 24

If 2 painters take 12 days to paint a house, how many days would it take 1 painter to paint the same house?

• 6 days

• 12 days

• 24 days

• 48 days

If 2 painters take 12 days to paint a house, how many days would it take 3 painters to paint the same house?

• 4 days

• 6 days

• 8 days

• 10 days

In an inverse proportionality relationship, if one quantity is multiplied by a factor, what happens to the other quantity?

• It is multiplied by the same factor.

• It is divided by the same factor.

• It remains unchanged.

• It is added to the same factor.

If a sack of dog food lasts 20 dogs for 10 days, how many days would the same sack of food last for 10 dogs?

• 5 days

• 10 days

• 20 days

• 40 days