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

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) (Show Source): You can put this solution on YOUR website!
This is a linear equation. All linear equations look
like:
is the slope of this straight line
is the y-intercept of the line
--------------------------------
You have:
This is the slope.
This is the y-intercept
--------------------------------
(a)
The slope corresponds to the 5% commission rate
(b)
The y-intercept occurs where , so this
is what he earns per month when he makes no sales
and just earns his base salary
(c)

His monthly salary is $2,500
(d)

He must have $30,000 in sales
---------------------------
Here's the plot:

The scale of both axes is in thousands of dollars
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