Researchers conducted an experiment to determine whether energy drinks actually increase one's energy. They randomly selected half of the study's participants to drink an energy drink and gave the remaining participants a placebo. Thirty-eight out of 50 participants in the energy drink group and 12 out of 50 participants in the placebo group reported feeling more energetic after
the drink. Is there enough evidence to suggest that energy drinks might really work?
ANO, because only half of the study's participants felt more energetic.
No, because some of the placebo group reported feeling more energetic as well.
Yes, because more than half of the energy drink group reported feeling more energetic,
D. Yes, because more than three times as many participants in the energy drink group felt more energetic as compared to the placebo group

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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.

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y-y1=m(x-x1)

y-1=1(x-8)