Aveterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. the vet uses these steps to find the amount of medicine to give a 10-pound dog. step 1 find the constant of variation. step 2 write the direct variation equation. step 3 substitute 10 into the equation to find the dosage for a 10-pound dog. step 4 solve for w. the 10-pound dog needs 1000 milligrams. in which step did the veterinarian make the first error?

Step 1 Find the constant of variation.

Step 2 Write the direct variation equation.

Step 3 Substitute 10 into the equation to find the dosage for a 10-pound dog.

Step 4 Solve for w.

If the vet mis-calculated the 10-pound dog needs 1000 milligrams, then the mistake is in Step 3. He put 10 in the wrong side of the equation.

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.

do it yourself this is easy

step-by-step explanation: