x = number of minutes for fruit cans and y = number of minutes for vegetable cansx = total number of minutes and y = total number of cansx = number of minutes for fruit and y = total number of cansx = total number of minutes and y = number of minutes for vegetables
3x + 8y = 38424x + 64y = 38464x + 24y = 38424x + 64y + 384 = 0
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To find the xintercept, set y 0 and solve for x. To find the yintercept, set x 0 and solve for y.
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The yintercept (0, 6) means that when 0 minutes are spent producing fruit cans, vegetables are produced for 6 minutes.
Fruit cans are produced for 0 minutes.Vegetable cans are produced for 6 minutes.All 384 cans produced contain vegetables.
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The xintercept (16, 0) means fruit cans are produced for 16 minutes and vegetable cans are produced for 0 minutes. All 384 cans produced contain fruit.
Fruit cans are produced for 16 minutes.Vegetable cans are produced for 0 minutes.All 384 cans produced contain fruit.
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The equation is 24x 64y 384. Substituting y 3 gives 24x 192 384, so 24x 192 and x 8. The fruit assembly line needs to run for 8 minutes.
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