Sonji plots –9 on a number line to represent the depth of her sailboat underwater and labels it B. She plots positive 20 on the same number line to represent the height of her sailboat above water and labels it A. Sonji asks if B, the elevation below sea level, acts as an opposite to A, the elevation above sea level. What is the best answer to her question? a. Although they are on opposite sides of sea level, they are not opposites since –9 and 20 are unequal distances from 0.
b. Because they are on opposite sides of sea level, they are considered be opposites.
c. Because they are not on opposite sides of zero on the number line, they are not opposites.
d. Although they are on opposite sides of 0 on the number line, the reason they are considered opposites is because they are the same distance from sea level.

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.

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.

∈3,600

step-by-step explanation: