SOLUTION: Please help me solve this word problem: In his job, Andrew earns 5% commission on his sales, plus a base salary of $2,000 per month. This can be modeled by the linear equation y

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this word problem: In his job, Andrew earns 5% commission on his sales, plus a base salary of $2,000 per month. This can be modeled by the linear equation y      Log On


   



Question 1009660: Please help me solve this word problem:
In his job, Andrew earns 5% commission on his sales, plus a base salary of $2,000 per month. This can be modeled by the linear equation y=0.05x + 2,000, where y is his monthly salary in dollars and x is his sales, also in dollars.
A.) What is the slope? With what does the slope correspond in the problem/
B.) What is the y-intercept? With what does the y-intercept correspond in the problem?
C.) Use the equation to determine his monthly salary if his sales are $10,000
D.) Use the equation to determine his sales if he wants to earn a monthly salary of $3,500

Thank you!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is a linear equation. All linear equations look
like: +y+=+m%2Ax+%2B+b+
+m+ is the slope of this straight line
+b+ is the y-intercept of the line
--------------------------------
You have: +y+=+.05x+%2B+2000+
+m+=+.05+ This is the slope.
+b+=+2000+ This is the y-intercept
--------------------------------
(a)
The slope corresponds to the 5% commission rate
(b)
The y-intercept occurs where +x+=+0+, so this
is what he earns per month when he makes no sales
and just earns his base salary
(c)
+y+=+.05x+%2B+2000+
+x+=+10000+
+y+=+.05%2A10000+%2B+2000+
+y+=+500+%2B+2000+
+y+=+2500+
His monthly salary is $2,500
(d)
+3500+=+.05x+%2B+2000+
+.05x+=+1500+
+x+=+30000+
He must have $30,000 in sales
---------------------------
Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+40%2C+-1%2C+5%2C+.05x+%2B+2+%29+
The scale of both axes is in thousands of dollars