Question 910608
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+1000}}}


b. Use the model to find the monthly pay if the salesperson sells ${{{14000}}} worth of items.

first find {{{7}}}% of ${{{14000}}} 

${{{14000*.07=980}}}
 
so, {{{y=980+1000=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+b}}} 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*0+1000}}}

{{{y=1000}}} => {{{b=1000}}}


see it on a graph:

{{{ graph( 600, 600, -15000, 500, -500, 1500, .07x+1000) }}}