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An orange grower harvested oranges from 4 acres of land and collected 720 bushels of oranges. The next day, the farmer harvested oranges from 7 acres of land and collected 1,260 bushels of oranges.

Is there a proportional relationship between the number of bushels of oranges collected and the number of acres harvested over the two days? Explain.

No, it is not proportional because both variables cannot be zero at the same time.
No, it is not proportional because all ratios between the number of bushels collected and the number of acres harvested are not equivalent.
Yes, it is proportional because the farmer collected 18 bushels for every 1 acre harvested.
Yes, it is proportional because the farmer collected 180 bushels for every 1 acre harvested.

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Answer:

  (d)  Yes, it is proportional because the farmer collected 180 bushels for every 1 acre harvested.

Step-by-step explanation:

You want to know if the ratios 4 acres : 720 bushels and 7 acres : 1260 bushels represent a proportional relationship.

Proportion

A relationship is proportional if the ratio of the dependent variable to the independent variable is a constant. We can check this for the numbers given:

  (720 bu)/(4 ac) = 180 bu/ac

  (1260 bu)/(7 ac) = 180 bu/ac

The ratios are the same, 180 bushels for each acre, so the relationship is proportional.

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