A person riding in an elevator travels 150 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds? A.
y=\frac{1}{5}xy=
5
1
​ x; 2 feet
B.
y=5xy=5x; 50 feet
C.
y=3xy=3x; 30 feet
D.
y=5xy=5x; 5 feet

the answer is B

Step-by-step explanation:

B is = 5 because, if in 30 seconds he travels 150 feet. in one second he will travel

150 feet x 1 second / 30 seconds = 5 feet per second

if he travels 150feet in 30 seconds in 10 seconds he will travel

150 feet x 10 seconds / 30 seconds = 50 feet

that is why B is = 5x ; 50feet

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.