Which of the relations given by the following sets of ordered pairs is a function? a. {(1, 1), (1, 3), (1, 5), (1, 7), (1, 9)}b. {(-2, 1), (7, 5), (-4,,,-6)}c. {(1,,,4), (3,,,1)}d. {(2, -7), (6,,9), (2,0), (-5,3)}

Option B) {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)} is correct.

Step-by-step explanation:

Consider the provided information.

According to function definition: a relationship between a set of inputs and a set of possible outputs in which each input is connected to exactly one output.

Now consider the provided options:

Option A) {(1, 1), (1, 3), (1, 5), (1, 7), (1, 9)}

Here, 1 is not connected to exactly one output.

For example 1 is connected with 1, 3, 5, 7 and 9.

Thus, it is not the correct option.

Option B) {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)}

Here, each input is connected to exactly one output.

Thus, option B is correct.

Option C) {(1,2),(2,3),(3,4), (3,3),(2,2),(1,1)}

Here, 1, 2 and 3 are not connected to exactly one output.

For example 1 is connected with 1, and 2, similarly 2 is connected with 2 and 3.

Thus, it is not the correct option.

Option D) {(2, -7), (6,5),(-3,9), (2,0), (-5,3)}

Here, 2 is not connected to exactly one output.

2 is connected with -7, and 0.

Thus, it is not the correct option.

Hence, Option B) {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)} is correct.

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.