What are the difference scores for the following list of scores for participants observed at two times? Time 1 Time 2
8 7
8 4
11 8
1 3
8 9

Difference (Time 1 - Time 2)

                 1

                4

                3

                -2

                -1

Step-by-step explanation:

Difference scores can be described as the difference between two points which obtained by deducting the value of one point from the value of the other point.

The difference scores for list of scores for participants observed at two times for this question can be obtained as the values of score at Time 1 minus the values of scores at Time 2 as follows:

Time 1          Time 2         Difference (Time 1 - Time 2)

   8                    7                               1

   8                    4                              4

   11                    8                              3

    1                    3                              -2

    8                   9                              -1

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.

they used 313 gallons of paint