IM 7.2.7 Lesson: Comparing Relationships with Tables
A lemonade recipe calls for the juice of 5 lemons, 2 cups of water, and 2 tablespoons of honey. Invent four new versions of this lemonade recipe:
One that would make more lemonade but taste the same as the original recipe.
One that would make less lemonade but taste the same as the original recipe.
One that would have a stronger lemon taste than the original recipe.
One that would have a weaker lemon taste than the original recipe.
Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle. Complete the table and answer the questions below.
For each row in the table, if each person in the vehicle splits the entrance cost equally, how much will each person pay?
How might you determine the entrance cost for a bus with 50 people?
Is the relationship between the number of people and the total entrance cost a proportional relationship? Explain how you know.
What equation could you use to find the total entrance cost for a vehicle with any number of people?
Han and Clare were running laps around the track. The coach recorded their times at the end of laps 2, 4, 6, and 8. Complete the table of Han's run.
Now complete the table of Clare's run and answer the questions below.
Is Han running at a constant pace? How do you know?
Is Clare running at a constant pace? How do you know?
Write an equation for the relationship between distance and time for anyone who is running at a constant pace.