Yesterday’s temperature at t hours past midnight was f (t) degrees Fahrenheit. At noon the temperature was 50 degrees. The first derivative, f ‘ (t), decreased all morning, reaching a low of 2 degrees per hour at noon, then increased for the rest of the day. Which one of the following must be correct? ( A ) The temperature fell in the morning and rose in the afternoon. ( B ) At 1 pm the temperature was 48 degrees. ( C ) The temperature was lower at noon than at any other time. ( D ) At 1 pm the temperature was 52 degrees.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Yesterday’s temperature at t hours past midnight was f (t) degrees Fahrenheit. At noon the temperature was 50 degrees. The first derivative, f ‘ (t), decreased all morning, reaching a low of 2 degrees per hour at noon, then increased for the rest of the day. Which one of the following must be correct?

( A ) The temperature fell in the morning and rose in the afternoon.

( B ) At 1 pm the temperature was 48 degrees.

( C ) The temperature was lower at noon than at any other time.

( D ) At 1 pm the temperature was 52 degrees.

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