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The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes producing fruit cans and y = number of minutes producing vegetable cans. What is the real world meaning of the x-intercept?

Respuesta :

The x-intercept will be at (16,0) and the y-intercept at (0, 6).

We have to solve for y by substituting 0 as the value of x. This will be:

24x + 64y = 384

24(0) + 64y = 384

64y = 384

y = 384/64

y = 6

We have to solve for x by substituting 0 as the value of y. This will be:

24x + 64y = 384

24x + 64(0) = 384

24x = 384

x = 384/24

x = 16

In conclusion, the x-intercept will be at (16,0) and the y-intercept at (0, 6).

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Answer:

Sample Answer: The x-intercept, at the point (16, 0) indicates the choice to produce fruit for 16 minutes. In 16 minutes, producing 24 cans of fruit a minute, all 384 cans for the order will be completed. The zero for the y-value represents that no time is spent producing cans of vegetables.

Step-by-step explanation:

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