Graphing Inverse Relationships in Real-Life Scenarios

A car travels at a speed of 60 km/h. If the distance to a destination is doubled, how does the travel time change? Graph the relationship between speed and time.

• The travel time doubles.

• The travel time triples.

• The travel time remains the same.

• The travel time decreases by half.

If 5 workers can complete a task in 10 hours, how long will it take 10 workers to complete the same task? Create a graph to show the relationship between the number of workers and time taken.

• 2 hours

• 5 hours

• 15 hours

• 10 hours

A recipe requires 4 cups of flour to make 12 cookies. If you want to make 24 cookies, how many cups of flour do you need? Illustrate the inverse relationship between the number of cookies and the amount of flour.

• 8 cups

• 12 cups

• 10 cups

• 6 cups

A tank can be filled by 3 pipes in 6 hours. If one pipe is removed, how long will it take to fill the tank? Graph the relationship between the number of pipes and the time taken to fill the tank.

• 3 hours

• 1.5 hours

• 4.5 hours

• 2 hours

The time taken to complete a project is inversely proportional to the number of people working on it. If 8 people can finish the project in 15 days, how long will it take 4 people? Show this relationship on a graph.

• 30 days

• 35 days

• 20 days

• 25 days

A gardener can plant 100 seeds in 5 hours. If he works faster and can plant 200 seeds in 5 hours, how does the time change? Create a graph to represent the inverse relationship between the number of seeds and time.

• The time increases to 6 hours for 200 seeds.

• The time remains the same at 5 hours for both scenarios.

• The time changes to 10 hours for both scenarios.

• The time decreases to 4 hours for 200 seeds.

If a car can travel 300 miles on 10 gallons of gas, how many gallons will it need to travel 600 miles? Graph the relationship between distance and gallons of gas used.

• 15 gallons

• 20 gallons

• 30 gallons

• 25 gallons

A factory produces 500 toys in 8 hours. If the production time is halved, how many toys can be produced in the same time? Illustrate the inverse relationship on a graph.

• 400 toys

• 600 toys

• 250 toys

• 300 toys

A swimming pool can be filled in 4 hours with 2 hoses. How long will it take to fill the pool with 1 hose? Create a graph to show the relationship between the number of hoses and the time taken to fill the pool.

• 12 hours

• 10 hours

• 8 hours

• 6 hours