SOLUTION: In February, the price charged by Friendly Flowers for roses was inversely proportional to the number of days before Valentine’s Day the order is placed. A dozen roses ordered 10

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Question 571598: In February, the price charged by Friendly Flowers for roses was inversely proportional to the number of days before Valentine’s Day the order is placed. A dozen roses ordered 10 days before February 14 cost $12.00 while the same order placed five days before cost $24.00. What is the cost of a dozen roses ordered one day before Valentine’s Day?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = price of roses +d+ days
before Valentine's Day.
given: +p+=+k%2A%281%2Fd%29+ where +k+ is
a constant called the " proportionality constant"
--------------------------------------
(1) +12+=+k%2A%281%2F10%29+
(2) +24+=+k%2A%281%2F5%29+
-------------------
(1) +120+=+k+
and
(2) +120+=+k+
I think the 2 examples were given just to show
that the relation between +p+ and +1%2Fd+
is a linear one.
When d+=+1+,
+p+=+k%2A%281%2F1%29+
+k+=+120+
+p+=+120%2A1+
+p+=+120+
a dozen roses cost $120 1 day before Valentine's Day
Here's the plot of +p+=+120%2A%281%2Fd%29+
with +d+ on the horizontal axis:
+graph%28+400%2C+400%2C+-2%2C+30%2C+-10%2C+130%2C+120%2A%281%2Fx%29+%29+
You can see the price goes way up when d is small