SOLUTION: I have such a difficult time with these types of problems. All assistance is greatly appreciated. A salesperson receives a fixed salary plus a percentage of all sales. The linea

Algebra ->  Coordinate-system -> SOLUTION: I have such a difficult time with these types of problems. All assistance is greatly appreciated. A salesperson receives a fixed salary plus a percentage of all sales. The linea      Log On


   



Question 29187: I have such a difficult time with these types of problems. All assistance is greatly appreciated.
A salesperson receives a fixed salary plus a percentage of all sales. The linear equation y = 0.05x + 500 describes the weekly salary, y, in dollars, in terms of weekly sales, x, also in dollars.
a. Use the formula to find the weekly salary for sales of $0, $1, $2, $3, $4, $5, $100, and $1000.
b. What is the slope of this equation? What does it represent in this situation?
c. What is the y-intercept of this equation? What does it represent in this situation?

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
A salesperson receives a fixed salary plus a percentage of all sales. The linear equation y = 0.05x + 500 describes the weekly salary, y, in dollars, in terms of weekly sales, x, also in dollars.
a. Use the formula to find the weekly salary for sales of $0, $1, $2, $3, $4, $5, $100, and $1000.
JUST PUT X=0,1,2,3,4..ETC...IN THE GIVEN FORMULA FOR Y=0.05*X+500..FOR EXAMPLE
X=0......Y=0.05*0+500=500
X=1......Y=0.05*1+500=500.05
...................................
X=100....Y=0.05*100 +500=5+500=505
X=1000...Y=0.05*1000+500=50+500=550
YOU CAN PLOT A GRAPH WHICH WILL LOOK AS FILLOWS
+graph%28+800%2C+800%2C+-50%2C+1000%2C+-50%2C+600%2C+0.05%2Ax%2B500%29+

b. What is the slope of this equation? What does it represent in this situation?
AS YOU CAN SEE FROM THE GRAPH AND THE EQUATION..SLOPE IS 0.05..THE COEFFICIENT OF X (0.05 HERE)DIVIDED BY COEFFICIENT OF Y (1 HERE)
c. What is the y-intercept of this equation? What does it represent in this situation?
AS YOU CAN SEE FROM THE GRAPH AND THE EQUATION THE Y INTERCEPT IS 500...IT IS THE VALUE OF Y WHEN X=0.