The percentage of southern Australian grasshopper eggs that hatch as a function of temperature (for temperatures between 7°C and 25°C) can be modeled as g(t) = -0.0065t4 + 0.49t3 – 13t2 + 136.3t 394 percent where t is the temperature in °C, data from 7 < t< 25.† (a) What temperature between 7°C and 25°C corresponds to the greatest percentage of eggs hatching? (Round your answer to three decimal places.) °C What is the percentage at this input? (Round your answer to three decimal places.) (b) What temperature between 7°C and 25°C corresponds to the least percentage of eggs hatching (Round your answer to three decimal places.)? °C What is the percentage at this input? (Round your answer to three decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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The percentage of southern Australian grasshopper eggs that hatch as a function of temperature (for temperatures between 7°C and 25°C) can be modeled as
g(t) = -0.0065t4 + 0.49t3 – 13t2 + 136.3t
394 percent
where t is the temperature in °C, data from 7 < t< 25.†
(a) What temperature between 7°C and 25°C corresponds to the greatest percentage of eggs hatching? (Round your answer to three decimal places.)
°C
What is the percentage at this input? (Round your answer to three decimal places.)
(b) What temperature between 7°C and 25°C corresponds to the least percentage of eggs hatching (Round your answer to three decimal places.)?
°C
What is the percentage at this input? (Round your answer to three decimal places.)
Transcribed Image Text:The percentage of southern Australian grasshopper eggs that hatch as a function of temperature (for temperatures between 7°C and 25°C) can be modeled as g(t) = -0.0065t4 + 0.49t3 – 13t2 + 136.3t 394 percent where t is the temperature in °C, data from 7 < t< 25.† (a) What temperature between 7°C and 25°C corresponds to the greatest percentage of eggs hatching? (Round your answer to three decimal places.) °C What is the percentage at this input? (Round your answer to three decimal places.) (b) What temperature between 7°C and 25°C corresponds to the least percentage of eggs hatching (Round your answer to three decimal places.)? °C What is the percentage at this input? (Round your answer to three decimal places.)
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