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In $2000,$ there were approximately $6,600$ students enrolled in dental assisting programs in the U.S. By $2008,$ that number had steadily increased to about $9,200$ students. Find the rate of change in the number of students studying to be dental assistants from 2000 to $2008 .$ (Source: American Dental Education Association)(IMAGE CANNOT COPY)
An increase of 325 students per year
Algebra
Chapter 3
Graphing Linear Equations and Inequalities in Two Variables; Functions
Section 4
Slope and Rate of Change
Graphs and Statistics
Equations and Inequalities
Linear Functions
Systems of Equations and Inequalities
Campbell University
Baylor University
Idaho State University
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we can take the information presented in this problem and convert it into ordered pairs. So we're told in the year 2000 there were 6600 students enrolled in dental assisting programs, so we can make that the order pair 2000 comma 6600. And we're told in the year 2008 that number had increased to 9200. So there's another ordered pair 8 11,200 So we want to find the rate of change, and the rate of change is the slope. So let's go ahead and calculate the change and why. 9200 minus 6600 over the change in x 2008 minus 2000. Okay, so 9200 minus 6600 gives us 2600 and 2008 minus 2000 gives us eight, and we can simplify this and we get 3 25 So then let's put the units on there. So the units on why where the number of students and the units on X was the year, so we can say that the rate is increasing at 325 students per year,
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