The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city. t (x) degrees F 80 70 60 50 40 2 4 6 8 10 12 The equation of the graph is t(x) = -0.8x² +11.6x + 38.2°F where x is the number of hours since 6 A.M. (a) Write the formula for t'. t'(x) = x hours since 6 A.M. (b) How quickly is the temperature changing at 11 A.M.? (Round your answer to one decimal place.) t'(5) = °F per hour (c) What is the instantaneous rate of change of the temperature at 3 P.M.? (Round your answer to one decimal place.) t'(9) = °F per hour

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 62E
icon
Related questions
Question
The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city.
t (x) degrees F
80
70
60
50
40
2 4 6 8 10 12
The equation of the graph is
t(x) = -0.8x² + 11.6x + 38.2°F
where x is the number of hours since 6 A.M.
(a) Write the formula for t'.
t'(x) =
x hours since 6 A.M.
(b) How quickly is the temperature changing at 11 A.M.? (Round your answer to one decimal place.)
t'(5) =
°F per hour
(c) What is the instantaneous rate of change of the temperature at 3 P.M.? (Round your answer to one decimal place.)
t'(9) =
°F per hour
Transcribed Image Text:The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city. t (x) degrees F 80 70 60 50 40 2 4 6 8 10 12 The equation of the graph is t(x) = -0.8x² + 11.6x + 38.2°F where x is the number of hours since 6 A.M. (a) Write the formula for t'. t'(x) = x hours since 6 A.M. (b) How quickly is the temperature changing at 11 A.M.? (Round your answer to one decimal place.) t'(5) = °F per hour (c) What is the instantaneous rate of change of the temperature at 3 P.M.? (Round your answer to one decimal place.) t'(9) = °F per hour
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill