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A carpenter has at most $250 to spend on lumber. The inequality 8x+12y≤250 represents the numbers x of 2-by-8 boards and the numbers y of 4-by-4 boards the carpenter can buy. Can the carpenter buy twelve 2-by-8 boards and fourteen 4-by-4 boards?

A carpenter has at most 250 to spend on lumber The inequality 8x12y250 represents the numbers x of 2by8 boards and the numbers y of 4by4 boards the carpenter ca class=

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hurryburning

Answer:

No, (12, 14) this is not a solution of the inequality

Step-by-step explanation:

(x, y)

x = 12 2-by-8 boards

y = 14 4-by-4 boards

(12, 14)

8x + 12y <= $250

This means that a 2-by-8 board cost $8 each, while a 4-by-4 board cost $12 each.

8(12) + 12(14) <= 250

96 + 168 <= 250

264 <= 250

264 is not less than or equal to 250

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