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At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41,790 oranges. If t is the initial number of trees on MacDonald's farm, which of the following equations best describes the situation? Choose 1 answer: (A) 41,790(t-5)=200 (B) 210(t+5)=41,790 (C) 210 t-5=41,790 (D) 210(t-5)=41,790

At the beginning of the season, MacDonald had to remove 55 orange trees from his farm. Each of the remaining trees produced 210210 oranges for a total harvest of 41,79041,790 oranges. If tt is the initial number of trees on MacDonald's farm, which of the following equations best describes the situation?\newlineChoose 11 answer:\newline(A) 41,790(t−5)=20041,790(t-5)=200\newline(B) 210(t+5)=41,790210(t+5)=41,790\newline(C) 210t−5=41,790210 t-5=41,790\newline(D) 210(t−5)=41,790210(t-5)=41,790

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Q. At the beginning of the season, MacDonald had to remove 55 orange trees from his farm. Each of the remaining trees produced 210210 oranges for a total harvest of 41,79041,790 oranges. If tt is the initial number of trees on MacDonald's farm, which of the following equations best describes the situation?\newlineChoose 11 answer:\newline(A) 41,790(t−5)=20041,790(t-5)=200\newline(B) 210(t+5)=41,790210(t+5)=41,790\newline(C) 210t−5=41,790210 t-5=41,790\newline(D) 210(t−5)=41,790210(t-5)=41,790
  1. Identify Problem: The problem involves finding the correct equation that represents the situation described. MacDonald had an initial number of trees, tt. After removing 55 trees, the remaining trees produced 210210 oranges each, for a total of 41,79041,790 oranges. We need to find the equation that correctly models this situation.
  2. Understand Situation: First, let's understand the situation. MacDonald starts with tt trees. After removing 55 trees, he is left with t−5t-5 trees. Each of these remaining trees produces 210210 oranges. The total production from these trees is 41,79041,790 oranges. The equation to represent this situation should involve multiplying the number of remaining trees (t−5)(t-5) by the number of oranges each tree produces (210)(210) to get the total number of oranges (41,790)(41,790).
  3. Eliminate Incorrect Options: Looking at the options, we can eliminate (A) and (C) because they do not correctly represent the situation described. Option (A) has the total number of oranges multiplied by t−5t-5, which doesn't make sense in this context. Option (C) incorrectly subtracts −5-5 from 210t210t, which does not match the situation of removing −5-5 trees before calculating the total orange production.
  4. Correct Equation Representation: Option (B) suggests adding 55 to tt before multiplying by 210210, which does not match the situation where 55 trees are removed from the initial count. Therefore, option (B) is also incorrect.
  5. Correct Equation Representation: Option (B) suggests adding 55 to tt before multiplying by 210210, which does not match the situation where 55 trees are removed from the initial count. Therefore, option (B) is also incorrect.Option (D) correctly represents the situation: 210(t−5)=41,790210(t-5)=41,790. This equation states that the total number of oranges (41,79041,790) is equal to the production per tree (210210) multiplied by the number of trees after removing 55 (t−5t-5). This matches the description of the problem accurately.

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