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Question
8. Your are shopping for cassettes and CDs. Cassettes cost $7, CDs cost $14, and you have $28 to spend.
a. Use a graph to determine how many cassettes and CDs you can buy.
b. List two solutions and explain what they mean.
Hello Regina,
Let x=# of cassettes you buy & y=# of CD's you buy.
Thus, 7x+14y=28 (assuming no tax, and you spend ALL your $)
Rearranging gives: y=-x/2 + 4 (now graph this...then
you can search for solutions by seeing where both x and y
are whole numbers).
Here are all possible solutions:
x=0 & y=4
x=2 & y=3
x=4 & y=2
x=6 & y=1
x=8 & y=0
OK? Do you understand?
TTYL, Abe
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Answers by Expert:
Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience
Over 15 years teaching at the college level.
Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.
Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook
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