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A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represent the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year. 6H+4S > 74 This year, 8 hummingbirds pollinated the colony. What is the least number of sunbirds that must pollinate the colony to ensure that it will survive until next year? Choose 1 answer: (A) At least 4 sunbirds must pollinate the colony. (B) At least 6 sunbirds must pollinate the colony. (c) At least 7 sunbirds must pollinate the colony. (D) At least 8 sunbirds must pollinate the colony.

A colony of flowers is pollinated by hummingbirds and sunbirds.\newlineLet \newlineHH represent the number of hummingbirds and \newlineSS represent the number of sunbirds that must pollinate the colony so it can survive until next year.\newline6H+4S > 74\newlineThis year, 88 hummingbirds pollinated the colony. What is the least number of sunbirds that must pollinate the colony to ensure that it will survive until next year?\newlineChoose 11 answer:\newline(A) At least 44 sunbirds must pollinate the colony.\newline(B) At least 66 sunbirds must pollinate the colony.\newline(C) At least 77 sunbirds must pollinate the colony.\newline(D) At least 88 sunbirds must pollinate the colony.

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Q. A colony of flowers is pollinated by hummingbirds and sunbirds.\newlineLet \newlineHH represent the number of hummingbirds and \newlineSS represent the number of sunbirds that must pollinate the colony so it can survive until next year.\newline6H+4S>746H+4S > 74\newlineThis year, 88 hummingbirds pollinated the colony. What is the least number of sunbirds that must pollinate the colony to ensure that it will survive until next year?\newlineChoose 11 answer:\newline(A) At least 44 sunbirds must pollinate the colony.\newline(B) At least 66 sunbirds must pollinate the colony.\newline(C) At least 77 sunbirds must pollinate the colony.\newline(D) At least 88 sunbirds must pollinate the colony.
  1. Understand the inequality: Understand the inequality that represents the condition for the colony's survival.\newlineThe inequality given is 6H + 4S > 74, where HH is the number of hummingbirds and SS is the number of sunbirds. We need to find the minimum value of SS when HH is given as 88.
  2. Substitute H H into the inequality: Substitute the value of H H into the inequality.\newlineSince we know that 8 8 hummingbirds have pollinated the colony, we substitute H=8 H = 8 into the inequality to find the minimum number of sunbirds needed.\newline 6(8) + 4S > 74
  3. Perform multiplication to simplify: Perform the multiplication to simplify the inequality. \newline6(8)6(8) gives us 4848, so the inequality becomes: \newline48 + 4S > 74
  4. Isolate the variable SS: Isolate the variable SS by subtracting 4848 from both sides of the inequality.\newline4S > 74 - 48\newline4S > 26
  5. Divide both sides of the inequality: Divide both sides of the inequality by 44 to solve for SS.\newlineS > \frac{26}{4}\newlineS > 6.5
  6. Determine the minimum number of sunbirds: Since SS must be an integer (you can't have half a sunbird), and the inequality is strict (S > 6.5), the least number of sunbirds that must pollinate the colony is 77.
  7. Choose the correct answer: Choose the correct answer from the given options.\newlineThe correct answer is (C) At least 77 sunbirds must pollinate the colony.

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