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 - 13t2136.3t - 394 percent 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.) 9.47 x °C What is the percentage at this input? (Round your answer to three decimal places.) 96.672 % (b) What temperature between 7°C and 25°C corresponds to the least percentage of eggs hatching (Round your answer to three decimal places.)? 25 °C What is the percentage at this input? (Round your answer to three decimal places.) 10.69

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section8.5: Using Intercept Form
Problem 104E
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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 - 13t2136.3t - 394 percent
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.)
9.47
x °C
What is the percentage at this input? (Round your answer to three decimal places.)
96.672
%
(b) What temperature between 7°C and 25°C corresponds to the least percentage of eggs hatching (Round your answer to three decimal places.)?
25
°C
What is the percentage at this input? (Round your answer to three decimal places.)
10.69
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 - 13t2136.3t - 394 percent 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.) 9.47 x °C What is the percentage at this input? (Round your answer to three decimal places.) 96.672 % (b) What temperature between 7°C and 25°C corresponds to the least percentage of eggs hatching (Round your answer to three decimal places.)? 25 °C What is the percentage at this input? (Round your answer to three decimal places.) 10.69
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