Zoe Oneal

2020-11-26

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

delilnaT

Skilled2020-11-27Added 94 answers

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$=0.0112{x}^{2}+0.4663x+1.513$

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.

Calculation:

The given model is Number of students

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

= 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.