Lesson 8

Interpreting and Drawing Graphs for Situations

  • Let’s make sense of graphs and scenarios.

8.1: Notice and Wonder: Crimes

What do you notice? What do you wonder?

Graph. Horizontal axis, years, by 3 years starting at 1993. Vertical axis, violent crimes reported in the US in millions, by ones.

8.2: Dining Out

These graphs show how busy restaurants are at different times of the day.

restaurant A

Graph on coordinate plane. 

restaurant B

Graph of a line. 

restaurant C

horizontal axis, hours after 8 AM. vertical axis, number of customers. horizontal line y = 30 graphed. 

restaurant D

horizontal axis, hours after 8 AM. vertical axis, number of customers. line y = 4x graphed.

For each situation, select the best restaurant. Be prepared to explain your reasoning.

  1. Which restaurant is busy in the morning, then has fewer customers in the evening?
  2. If Lin’s mom wants to go to a popular dinner restaurant, which restaurant should Lin take her mom to eat?
  3. Noah’s dad prefers breakfast places with few customers so that he can start on work while eating. Which restaurant should Noah’s dad go to for breakfast?
  4. Which restaurant would you visit during a 30 minute lunch break? 1 hour lunch break?

8.3: Draw the Graphs

For each situation, draw a graph that could represent it.

  1. Diego starts at home and walks away from home at a steady rate of 3 miles per hour.

    Horizontal axis, time in hours. Scale 0 to 2, by 1’s. Vertical axis, Distance from home in miles. Scale 0 to 10, by 2’s. 
  2. Mai starts 5 miles from home and walks at a steady rate of 3 miles per hour toward her home until she gets there and stays.

    Blank coordinate grid, origin O. Horizontal axis 0 to 2, by 1s, time, hours. Vertical axis 0 to 10, by 2s, distance from home, miles.
  3. A soccer player kicks a ball that’s on the ground so that it goes up to a height of about 10 feet and then comes back down to hit the ground 1.55 seconds later.

    Horizontal axis, time in seconds. Scale 0 to 1, by 1’s. Vertical axis, height above the ground in feet. Scale 0 to 16, by 2’s.
  4. The amount of charge left in a phone battery as a percentage is a function of time. Clare runs her phone until it is completely dead, then charges it all the way back up at a steady rate.

    Horizontal axis, time in hours. Scale 0 to 48, by 6’s. Vertical axis, battery life in percent. Scale 0 to 100, by 20’s.

Summary