Question

DIRECTION: Underline the two quantities in each situation. write whether are directly (direct variation) or inversely (inverse variation) related.

1. the number of days a tank of water lasts is related to the number of people in the household.
2. the water bill is related to the number of cubic meters of water consumed.
3. the cost per person hiring a taxicab to the number of persons sharing the cost.
4. the fraction of pizza per person to the number of persons Sharing the pizza.
5. the age of an antique furniture is related to the price it can fetch in the market.​

Answer 1

Answer:

1) inversely

2) directly

3) inversely

4) directly

5)directly

I hope it is helpful.

Answer 2

Tip:

• Two quantities are said to be inversely proportional when the value of one quantity increases with respect to a decrease in another or vice-versa. This means that these two quantities behave opposite in nature.
• Two quantities are said to be directly proportional when the value of one quantity increases with respect to one another and vice versa.

Answer:

1.)

The given expression is the number of days a tank of water lasts is related to the number of people in the household.

The number of days a tank of water lasts is inversely related to the number of people in the household.

Because when the number of people in the house decreases then water lasts for more days.

2.)

The given expression is the water bill is related to the number of cubic meters of water consumed.

The water bill is directly related to the number of cubic meters of water consumed.

Because when the number of cubic meters of water consumed increases then the water bill increases

3.)

The given expression is the cost per person hiring a taxicab to the number of persons sharing the cost.

The cost per person hiring a taxicab is inversely related to the number of persons sharing the cost.

Because if number of persons decreases then cost per person hiring a taxicab increases.

4.)

The given expression is the fraction of pizza per person to the number of persons Sharing the pizza.

The fraction of pizza per person is directly related to the number of persons Sharing the pizza.

Because if the number of persons decreases than fraction of pizza per person also decreases.

5.)

The given expression is the age of an antique furniture is related to the price it can fetch in the market.

The age of an antique furniture is inversely related to the price it can fetch in the market.​