Unit 4 - Lesson 11 - Grade 8: Illustrative Mathematics

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7 Questions
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Grade 8 Unit 4
Lesson 11: On Both of the Lines
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 4
Lesson 11: On Both of the Lines
CC BY 2021 Illustrative Mathematics®
Lesson: On Both of the Lines

Notice and Wonder: Bugs Passing in the Night (Warm Up)

1.

What do you notice? What do you wonder?


Bugs Passing in the Night, Continued

A different ant and ladybug are a certain distance apart, and they start walking toward each other. The graph shows the ladybug’s distance from its starting point over time and the labeled point (2. 5, 10) indicates when the ant and the ladybug pass each other.
The ant is walking 2 centimeters per second.
2.

Write an equation representing the relationship between the ant’s distance from the ladybug’s starting point and the amount of time that has passed.

3.

If you haven’t already, draw the graph of your equation on the same coordinate plane.

A Close Race

Elena and Jada were racing 100 meters on their bikes. Both racers started at the same time and rode at constant speed. Here is a table that gives information about Jada’s bike race:
4.

  1. Graph the relationship between distance and time for Jada’s bike race. Make sure to label and scale the axes appropriately.
  2. Elena traveled the entire race at a steady 6 meters per second. On the same set of axes, graph the relationship between distance and time for Elena’s bike race.

5.

Who won the race?

Cool Down: Saving Cash

Saving Cash

Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.
6.

Write the equation for Andre's savings and graph it alongside Noah's.

7.

What does the intersection point mean in this situation?