One possible point in the solution set is (2, 2), which means Michael can buy 2 cupcakes and 2 pieces of fudge, spending a total of $6. This point satisfies both inequalities:
2x + y = 2(2) + 2(1) = 6 ≤ 8
x + y = 2 + 2 = 4 ≥ 4
Interpretation: If Michael buys 2 cupcakes and 2 pieces of fudge, he will spend $6 and have enough food to feed his four siblings. This is one possible combination of items that meets the requirements of the problem.
Michael has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1.
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Choose a different point in the solution set and interpret what it means in terms of the real-world context
3 answers
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1 answer