For each of the following relationships, determine if it is…
For each of the following relationships, determine if it is proportional, inversely proportional, or neither. Explain your answer for each case.a) Kacey is running 100-meter dashes. Each time she runs at a different, but constant speed. Consider the relationship between the speed at which Kacey runs and the time it takes Kacey to run 100 meters.b) Maleka is running at a constant speed. Consider the relationship between the time Maleka has spent running and the distance she has run.
Read DetailsIn Happy Valley, the average rainfall in July is 5 inches, b…
In Happy Valley, the average rainfall in July is 5 inches, but this year only 3.5 inches of rain fell in July. What percent of the average July rainfall did Happy Valley receive this year? Solve the problem with a math drawing or using a percent table and explain your reasoning. (Note: you’re welcome to provide both a percent table and a math drawing in your explanation)
Read DetailsAllie, Benton, and Cathy are planning to mix red and yellow…
Allie, Benton, and Cathy are planning to mix red and yellow paint. They are considering which of the following paint mixtures will make a more yellow paint:a mixture of 3 cups red and 5 cups yellowa mixture of 4 cups red and 6 cups yellowAllie says that both paints will look the same because to make the second mixture you just add 1 cup of each color to the first mixture. Benton says that the second mixture should be more yellow than the first mixture because it uses more yellow than the first mixture. Cathy says that both paints should look the same because each uses 2 cups more yellow than red.Answer each of the following:a) Consider the students’ ideas. Is their reasoning valid or not?b) Which paint will be more yellow, and why? Use a ratio table to solve this problem in two different ways, explaining in detail why you can solve the problem the way you do.
Read DetailsExplain how to reason with unit rates to solve the following…
Explain how to reason with unit rates to solve the following problems and state the answer to each problem:a) Suppose you drive 4500 miles every half year in your car. At the end of 334 years, how many miles will you have driven?b) Mo uses 128 ounces of liquid laundry detergent every 612 weeks. How much detergent will Mo use in a year? (hint: there are 52 weeks in one year)c) Suppose you have a 32-ounce bottle of weed killer concentrate. The directions say to mix 212 ounces of weed killer concentrate with enough water to make a gallon. How many gallons of weed killer will you be able to make from this bottle?
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