Concept explainers
Health-Care Spending in the 2000s Write
a. Find a linear model for the rate of change
b. Given that $1,300 billion was spent on health care in the United States in 2000, find the function
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Applied Calculus
- For the following exercise, consider this scenario: In 2004, a school population was 1,700. By 2012 the population had grown to 2,500. Assume the population is changing linearly. a. How much did the population grow between the year 2004 and 2012? b. What is the average population growth per year? c. Find an equation for the population, P, of the school t years after 2004.arrow_forwardIn 2004, a school population was 1,001. By 2008the population had grown to 1,697. Assume thepopulation is changing linearly. a. How much did the population grow between theyear 2004 and 2008? b. How long did it take the population to grow from1,001 students to 1,697 students? c. What is the average population growth per year? d. What was the population in the year 2000? e. Find an equation for the population, P, of theschool t years after 2001. f. Using your equation, predict the population of theschool in 2011 .arrow_forwardCost of Adding Employees The following table shows the cost, in millions of dollars, to Walmart of adding the given number of employees to each of its superstores.14 E = number of new employees 1 2 3 4 C = cost 89.6 179.2 268.8 358.4 a. Find a linear model for the data in the table. b. Explain in practical terms the meaning of the slope of the linear model you found in part a.arrow_forward
- Sound Speed in Oceans Marine scientists use a linear model for the speed c of sound in the oceans as a function of the salinity S at a fixed depth and temperature. In the following table, one scientist recorded data for c and S at a depth of 500 meters and a temperature of 15 degrees Celsius. Here c is measured in meters per second and S in part per thousand. Salinity S Sound speed c 35.0 1515.36 35.6 1516.08 36.2 1516.80 36.8 1517.62 37.4 1518.24 a. Looking over the table, the scientist realizes that one of the entries for sound speed is in error. Which entry is it, and what is the correct speed? b. Explain in practical terms the meaning of the slope of the linear model for c in terms of S at the given depth and temperature. c. Calculate c39 and explain in practical terms what it means.arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forward
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