Eli left his house one afternoon to study at the library. The graph shows his distance, in miles, away from his house as a function of time, in minutes. A graph titled Eli's Trip to the Library. The horizontal axis shows Time (minutes), numbered 0 to 135, and the vertical axis shows Distance from Home (miles) numbered 0 to 5. The line begins at 0, goes up to 4 miles from 30 to 120 minutes, then goes down to 0 miles in 133 minutes. What could explain what happened when the time was equal to 120 minutes? Eli arrived at the library. Eli rode his bicycle home from the library. Eli rode his bicycle to the store, getting farther away from his house. Eli continued to study at the library for 13 more minutes.

table 3 represents a direct variation function. : )

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.