A recipe says it produces the best sweet tea. In addition to using tea bags, the recipe calls for cup of sugar for every 1 cups of water.
a. Write an equation that shows the relationship between the number of cups of sugar to the number of cups of water
in this recipe. Let s represent the number of cups of sugar, and let w represent the number of cups of water.
b. If there are 4 cups of water in a pitcher, how many cups of sugar will be needed to follow the recipe for the best
sweet tea? Use the equation written in part (a) to determine your answer.

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to