SOLUTION: A salesperson earns $1,000 a month plus a 7% commission on every item sold. a. Write a linear model that gives the salesperson's total monthly pay in dollars, y, in terms of the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A salesperson earns $1,000 a month plus a 7% commission on every item sold. a. Write a linear model that gives the salesperson's total monthly pay in dollars, y, in terms of the      Log On


   



Question 910608: A salesperson earns $1,000 a month plus a 7% commission on every item sold.
a. Write a linear model that gives the salesperson's total monthly pay in dollars, y, in terms of the value, x, of the items sold.
b.Use the model to find the monthly pay if the salesperson sells $14,000 worth of items.
c. what is the slope of the line? what does it represent?
d. what is the y-intercept of the line? what does it represent?
My question is how am I suppose to solve them, because I don't understand what to do?


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
A salesperson earns $1000 a month plus a 7%=.07 commission on every item sold.
a. Write a linear model that gives the salesperson's total monthly pay in dollars, y, in terms of the value, x, of the items sold.

y=.07x%2B1000

b. Use the model to find the monthly pay if the salesperson sells $14000 worth of items.
first find 7% of $14000
$14000%2A.07=980

so, y=980%2B1000=1980 ...the monthly pay
c. what is the slope of the line? what does it represent?
the slope represents the rate of monthly pay y over commission x
slope-intercept form: y=mx%2Bb where m is slope and b is y-intercept
in your case the slope m=.07
d. what is the y-intercept of the line? what does it represent?
b is y-intercept which represents the point where the line of your graph intersects the y-axis
Since the y-axis is located at x=0, you can get it by plugging in 0 for x:
y=+.07%2A0%2B1000
y=1000 => b=1000

see it on a graph:
+graph%28+600%2C+600%2C+-15000%2C+500%2C+-500%2C+1500%2C+.07x%2B1000%29+