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Question 347997: post office charges a flat fee of 1.50 for any package under 2 pounds. for a package weighing between 2 an 5lbs the office charges .75 per pound. after 5lbs the post office charges .25 per pound plus a flat fee of $3.
write equation of the piecewise linesr function,and graph the function from 0lbs to 10lbs
Answer by texttutoring(324)   (Show Source):
You can put this solution on YOUR website! Let C = Cost
Let x = weight of package, in pounds
Under 2 pounds:
C = 1.50
Between 2-5 pounds:
C = 0.75x
Over 5 pounds:
C = 0.25x + 3
These are all just lines.
On you graph, have Cost (in $) on the y-axis, and Weight (in pounds) on the x-axis.
From 0-2 pounds, your line will be a horizontal line at C=$1.50.
From 2-5 pounds, your line will be a diagonal line with a slope of 0.75 (or 3/4) and the y-intercept is 0.
After 5 pounds, your line will have a slope of 0.25 (or 1/4) and the y-intercept is 3.
So you will actually have 3 different lines on the same graph.
If you need assistance with the graph please let me know. Hope this helps!
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