Percentage of Total Spending in the United States on Food and Health Care 24% 22% 21% 18% 16% 16% 15% 13% 12% 10% 9% 7% 7% 6% 3% 3% Food Health Care Perentage of Total Spending

Cell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table. Gigabytes GB of data included Monthly Cost Each additional megabytes MB Plan A Plan B Plan C 1 1 1 25.00 40.00 60.00 2.00 1.50 1.00 From past experience, Gwendolyn knows that she will always use more than 1GB of cell phone data every month. aMake table of values that shows the cost of each plan for 1 GB to 4 GB, in 500 MB increments. bFind formulas that give Gwendolyns monthly cost for each plan, assuming that she uses x gigabytes of data per month where x1. cWhat is the charge from each plan when Gwendolyn uses 2.2 GB? 3.7 GB? 4.9 GB? d Use your formulas from part b to determine the number of gigabytes of data usage for which: (i) Plan A and Plan B give the same cost. (ii) Plan A and Plan C give the same cost. (iii) Plan B and Plan C give the same cost.

In Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 2008 through 2014. In each exercise, you are given the expenditures of the federal government. Find the magnitude of the surplus or deficit for the year. YearReceipts,RExpenditures,ERE20103457.1billion

Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.