Questions: Interpret a quadratic graph Which of these statements are true? Choose all answers that apply: A More rainfall relates to more mosquitoes as long as rainfall is less than 2 cm . B More rainfall relates to more mosquitoes as long as rainfall is more than 2 cm . C When there is no rainfall, there are about 1 million mosquitoes.

Solution Steps

• The graph is a quadratic function representing the relationship between rainfall (in centimeters) and the number of mosquitoes (in millions).
• The x-axis represents rainfall in centimeters, and the y-axis represents the number of mosquitoes in millions.

• The graph peaks at around 2 cm of rainfall, where the number of mosquitoes is at its maximum (approximately 4 million).
• At 0 cm of rainfall, the number of mosquitoes is about 1 million.
• As rainfall increases from 0 cm to 2 cm, the number of mosquitoes increases.
• As rainfall increases beyond 2 cm, the number of mosquitoes decreases.

• Statement A: "More rainfall relates to more mosquitoes as long as rainfall is less than 2 cm."
  • This is true because the number of mosquitoes increases as rainfall increases from 0 cm to 2 cm.
• Statement B: "More rainfall relates to more mosquitoes as long as rainfall is more than 2 cm."
  • This is false because the number of mosquitoes decreases as rainfall increases beyond 2 cm.
• Statement C: "When there is no rainfall, there are about 1 million mosquitoes."
  • This is true because the graph shows that at 0 cm of rainfall, the number of mosquitoes is about 1 million.

Final Answer