To find:
The total sales T(x) of Northwest Creations, to the
Mylo O'Moore
Answered question
2021-08-19
To find:
The total sales T(x) of Northwest Creations, to the nearest dollar using the model where the distribution of x thousand catalogues is approximated by .
Answer & Explanation
Fatema Sutton
Skilled2021-08-20Added 88 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
Where x is the number of catalogues distributed in throusands and T(x) is the total sales in dollars.
So, in order to get the total sales T(x), replace x in the given model with the number of catalogues.
a)
Replace x with
Since
Using calculator,
Based on this model, the total sales of the Northwest Creations resulting from 5000 catalogues is $18495
b)
Replace x with
Since
Using calculator,
Based on this model, the total sales of the Northwest Creations resulting from the distribution of 24000 catalogues is $21901
c)
Replace x with
Since , we have
Using calculator,
Based on this model, the total sales of the Northwest Creations resulting from 49000 catalogues is $23451
Final statement:
Based on this model, the total sales of the Northwest Creations resulting from 5000 catalogues is $18495, from 24000 catalogues is $21901 and from 49000 catalogues is $23451.