SOLUTION: Pen and pencils. a bookstore manager plans to spend $60 on pens at 30 cents each and pencils at 10 cents each. The equation 0.10x+0.30y=60 can be used to model this situation.

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Question 118011: Pen and pencils.
a bookstore manager plans to spend $60 on pens at 30 cents each and pencils at 10 cents each. The equation 0.10x+0.30y=60 can be used to model this situation.
a) who x and y represent?
b) graph the equation.
c) write the equation in slope-intercept form.
d) what is the slope of the line?
e) what does the slope tell you?
the answer i got was
a) x= # of pencils y= # of pens
this is what I got so far
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The equation %280.10%29x+%2B+%280.30%29y+=+60
pens at 30 cents = > $0.30
pencils at 10 cents = > $0.10
a) x represents pencils and y+represents pens
b) graph the equation.


Solved by pluggable solver: PLOT a graph of a function
Plotting a graph:
graph%28+600%2C+400%2C+-100%2C+300%2C+-6%2C+250%2C+-%280.33%29x%2B200+%29
This solver uses formula rendering system and here's the actual formula that was plotted:

graph( 600, 400, -100, 300, -6, 250, -(0.33)x+200 )




c) write the equation in slope-intercept form.
%280.10%29x+%2B+%280.30%29y+=+60….move %280.10%29x to the right
+%280.30%29y+=++-+%280.10%29x+%2B+60+…..divide both sides by 0.30

+y+=+-+%280.10%29x%2F%280.30%29+%2B+60%2F%280.30%29+

+y+=+-+%280.33%29x+%2B+200%29+………………..the+slope-intercept form

d) the slope of the line is -+%280.33%29
e) the slope tell you the steepness of a line, or slope is also defined as
rise+%2F+run ;
if the line+rises, or goes uphill, the line has positive+slope;
horizontal lines have+zero+slope;
vertical lines have no+slope (or undefined);
if the line+falls (downhill) the slope is negative