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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 HH represent the number of hummingbirds and SS 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:\newlineA At least 44 sunbirds must pollinate the colony.\newlineB 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 HH represent the number of hummingbirds and SS 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:\newlineA At least 44 sunbirds must pollinate the colony.\newlineB 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. Substitute Hummingbirds: Substitute the number of hummingbirds H=8H = 8 into the inequality.6H + 4S > 746(8) + 4S > 74
  2. Multiply Contribution: Perform the multiplication to find the contribution of the hummingbirds to the inequality.\newline6(8)=486(8) = 48\newline48 + 4S > 74
  3. Isolate Sunbirds Term: Subtract the hummingbird contribution from both sides of the inequality to isolate the term with SS.\newline48 + 4S - 48 > 74 - 48\newline4S > 26
  4. Divide to Solve: Divide both sides of the inequality by 44 to solve for SS.\frac{4S}{4} > \frac{26}{4}S > 6.5
  5. Round Up: Since SS represents the number of sunbirds and it must be a whole number, we round up because SS must be greater than 6.56.5.\newlineS≥7S \geq 7

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