SOLUTION: A student has at most $4 to spend on pens at $0.25 each and notebooks at $0.40 each. a.) Write an inequality that limits the possibilities for the number of pens (x) and the numb

Algebra ->  Graphs -> SOLUTION: A student has at most $4 to spend on pens at $0.25 each and notebooks at $0.40 each. a.) Write an inequality that limits the possibilities for the number of pens (x) and the numb      Log On


   

Question 360554: A student has at most $4 to spend on pens at $0.25 each and notebooks at $0.40 each.
a.) Write an inequality that limits the possibilities for the number of pens (x) and the number of notebooks (y) that can be purchased.
b.) Graph the inequality in the first quadrant.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
$4 dollars max means the student could spend less than 4 or exactly 4 meaning less than or equal to.
so
.25x%2B.4y%3C=4
id then write this in the slope/intercept form to make graphing easier
.4y%3C=4-.25x
y%3C=10-.625x
by looking at the equation you should be able to tell that the line to draw is a solid line and will be shading down the y-axis from intercept of 10
and 5/8=.625
y%3C=%28-5%2F8%29x%2B10
slope is down 5 and to the right 8
so the 2 points of the line are (0,10)(8,5)
im sure you can draw the line and shade downwards with this information