Monday, March 28, 2011

Which system of linear inequalities decribes the condition's in this problem?

Jared earns money by making gift baskets for fathers day. He does one basket filled with finishing supplies and another basket with a sports fan theme, He makes a profit of $9.00 on the finishing Supply basket and a profit of $12.50 on the sports fan basket. He only has time to make 100 baskets and needs to earn at least $1,000 to Cover his summer activities. a) 12.5x + 9y < 1000, x + y > 100 b) 12.5x + 9y < 1000, x + y < 100 c) 12.5x + 9y > 1000, x + y < 100 d) 12.5x + 9y > 1000, x + y > 100 ty in advance. easy points or best answer!
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The correct answer is C. x is representing the number of supply baskets. y are the sports fan baskets. See how they are multiplied against the money he makes for each one? Now, he has to make 'at least' $1000, so technically it should be greater than or equal to 1000, but then the x + 7, again the number of total baskets made has to be less than 100 (technically less than or equal to) to not run out of time.
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