Question

# To find:The number of students took at least one online college cource in 2012, using the given model, Number of students ={0.0112}{x}^{2}+{0.4663}{x}+{1.513}.

Math Word Problem
To find:The number of students took at least one online college cource in 2012, using the given model, Number of students $$={0.0112}{x}^{2}+{0.4663}{x}+{1.513}$$.

2020-11-27
Concept: Modeling is a method of simulating the real life situations with mathematical equations. Using these models we can forecast the future behavior. We can translate the mathematical word problem into a math expression using variables.
Calculation:
The given model is Number of students $$={0.0112}{x}^{2}+{0.4663}{x}+{1.513}$$
Using this model, we can approximate the number of students (in millions) taking at least one online college course between the period 2002 and 2012.
Here, x= 0 corresponds 2002
x= 1 corresponds 2003.
So, x= 12 corresponds 2012.
So, substituting x= 12 in the given model, we get the approximate number of students (in millions) who took at least one online college course in 2012.
So, Number of students in $${2012}={0.0112}{\left({10}\right)}^{2}+{0.4663}{\left({10}\right)}+{1.513}$$
= 0.0112(100) + 4.663 + 1.513
= 1.12 + 4.663 + 1.513
= 7.296 millions
Final statement:
Therefore, 7.296 million students took at least one online college course in 2012.