Word Problem on Function and Graph

A function is the intuitive idea of deterministic dependence between two quantities. A word problem is explained below which related to function and graphical representation for the dependency of variables .

Topic : Function and Graph

Graphical representation of data makes the reading more interesting, hence graph plotted for the obtained function on basis of variables in the word problem is as depicted in the image.

Question : A salesperson is paid a basic salary of $300 plus 8% of there sales. write a function for the salary and Plot a graph for the function.

Solution :

Let the sales be x
8% of x = 8/100 * x = $0.08x
Basic Salary = $300
Total salary = Basic Salary + 8% of sales
y = 300 + 0.08x
when x = -50
y = 300 + 0.08x = 300 + 0.08(-50) = 300 - 4.00 = 296
when x = -100
y = 300 + 0.08(-100) = 300 - 8.00 = 292
when x = 0
y = 300 + 0.08(0) = 300 - 0 = 300
when x = 50
y = 300 + 0.08(50) = 300 + 4.00 = 304
when x = 100
y = 300 + 0.08(100) = 300 + 8.00 = 308

x ----------- y = 300 + 0.08x ---------------- y

-50 -------- y = 300 + 0.08(-50) --------- 296
-100 ------ y = 300 + 0.08(-100) ------- 292
0 ----------- y = 300 + 0.08(0) ----------- 300
50 --------- y = 300 + 0.08(50) ---------- 304
100 ------- y = 300 + 0.08(100) -------- 308

And the graphical representation is as given the figure below.