Provide an appropriate response.
-A pediatric speech therapist started her own practice in 2004. The function y $y = 3.2 x + 10.53$ odels the number of patients she treated each year, where x is the number of years after 2004. The model was found using data for
The years between 2004 and 2012. What does the model estimate as the number of patients in 2009? Round to
The nearest whole number. Is this interpolation or extrapolation?
A) 27; interpolation
B) 25; extrapolation
C) 29; interpolation
D) 27; extrapolation

Question

Quizplus · Accepted Answer

The year 2009 corresponds to x = 5 (since 2009 is 5 years after 2004). Plugging x = 5 into the equation y = 3.2(5) + 10.53 gives y = 26.53, which rounds to 27. Since 2009 is within the range of data (2004-2012), this is interpolation.

Provide an Appropriate Response y=3.2x+10.53y = 3.2 x + 10.53y=3.2x+10.53 Odels the Number of Patients She Treated Each Year, Where

Provide an Appropriate Response $y = 3.2 x + 10.53$ Odels the Number of Patients She Treated Each Year, Where