The following table shows national health care costs, measured in billions of dollars. Date 1970 1980 1990 2000 2010 Costs in billions 75 253 714 1353 2570 (a) Plot the data. (Let t be years since 1970 and H the costs in billions of dollars.) (b) Find an exponential function that approximates the data for health care costs. (Let t be years since 1970 and H the costs in billions of dollars.) _______ (c) By what percent per year were national health care costs increasing during the period from 1970 through 2010? (Use the model found in part (b). Round your answer to one decimal place.) ________% (d) Use functional notation to express how much money was spent on health care in the year 2012. (Let t be years since 1970.) H(_______) Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.) ________ billion dollars
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
For this exercise, round all regression parameters to three decimal places.
The following table shows national health care costs, measured in billions of dollars.
| Date | 1970 | 1980 | 1990 | 2000 | 2010 |
|---|---|---|---|---|---|
| Costs in billions |
75 | 253 | 714 | 1353 | 2570 |
________%
________ billion dollars
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