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 0.0065t40.49t3 - 13t2136.3t - 394 percent g(t) where t is the temperature in °C, data from 7 sts 25.t (a) What temperature between 7°C and 25°C corresponds to the greatest percentage of eggs hatching? (Round your answer to three decimal places.) ос 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.)? ос What is the percentage at this input? (Round your answer to three decimal places.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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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
0.0065t40.49t3 - 13t2136.3t - 394 percent
g(t)
where t is the temperature in °C, data from 7 sts 25.t
(a) What temperature between 7°C and 25°C corresponds to the greatest percentage of eggs hatching? (Round your answer to three decimal places.)
ос
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.)?
ос
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 0.0065t40.49t3 - 13t2136.3t - 394 percent g(t) where t is the temperature in °C, data from 7 sts 25.t (a) What temperature between 7°C and 25°C corresponds to the greatest percentage of eggs hatching? (Round your answer to three decimal places.) ос 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.)? ос What is the percentage at this input? (Round your answer to three decimal places.)
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