Math

CalculusFinite Mathematics and Applied Calculus (MindTap Course List)Food versus Education The percentage y (of total personal consumption) an individual spends on food is approximately y = 35 x − 0.25 percentage points ( 6.5 ≤ x ≤ 17.5 ) , where x is the percentage the individual spends on education. An individual finds that she is spending x = 7 + 0.2 t percent of her personal consumption on education, where t is time in months since January 1. Use direct substitution to express the percentage y as a function of time t (do not simplify the expression), and then use the chain rule to estimate how fast the percentage she spends on food is changing on November 1. Be sure to specify the units. [ HINT: See Example 3(a).]BuyFind*arrow_forward*

7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337274203

Chapter 11.4, Problem 83E

Textbook Problem

**Food versus Education** The percentage *y* (of total personal consumption) an individual spends on food is approximately

*x* is the percentage the individual spends on education. An individual finds that she is spending

*t* is time in months since January 1. Use direct substitution to express the percentage y as a function of time t (do not simplify the expression), and then use the chain rule to estimate how fast the percentage she spends on food is changing on November 1. Be sure to specify the units. [**HINT:** See Example 3(a).]

Finite Mathematics and Applied Calculus (MindTap Course List)

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Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...

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GE Net Income 2009-2013 The annual net income of...Ch. 11.1 - GE Net Income 20072011 The annual net income of...Ch. 11.1 - Ecology Increasing numbers of manatees (sea...Ch. 11.1 - SAT Scores by Income The following graph shown...Ch. 11.1 - Market Share: Smartphones The following graph...Ch. 11.1 - Market Share: Smartphones The following graph...Ch. 11.1 - What instructions would you give to a fellow...Ch. 11.1 - What instructions would you give to a fellow...Ch. 11.1 - Consider f(x)=x2 and g(x)=2x2 =. 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Investments If $20,000 is invested in a savings...Ch. 11.5 - The 2003 SARS Outbreak In the early stages of the...Ch. 11.5 - The 2003 SARS Outbreak A few weeks into the deadly...Ch. 11.5 - The 2014 Ebola Outbreak In the first 6 months of...Ch. 11.5 - The 2014 Ebola Outbreak In the first 6 months of...Ch. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - Demographics: Average Age and Fertility The...Ch. 11.5 - Demographics: Average Age and Fertility The...Ch. 11.5 - Epidemics A flu epidemic described in Example 1 in...Ch. 11.5 - Epidemics Another epidemic follows the curve...Ch. 11.5 - Subprime Mortgages during the Housing Bubble...Ch. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Subprime Mortgages during the Housing Bubble...Ch. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Population Growth The population of Lower Anchovia...Ch. 11.5 - Population Growth The population of Upper Anchovia...Ch. 11.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 11.5 - Radioactive Decay Carbon 14 has a half-life of...Ch. 11.5 - Cellphone Revenues The number of cellphone...Ch. 11.5 - Cellphone Revenues The annual revenue for...Ch. 11.5 - Complete the following: The derivative of e raised...Ch. 11.5 - Complete the following: The derivative of the...Ch. 11.5 - Complete the following: The derivative of 2 raised...Ch. 11.5 - Complete the following: The derivative of the base...Ch. 11.5 - What is wrong with the following?...Ch. 11.5 - What is wrong with the following? ddx22x=(2)22x X...Ch. 11.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 11.5 - What is wrong with the following? ddxln(3x21)=16x...Ch. 11.5 - The number N of music downloads on campus is...Ch. 11.5 - The number N of graphing calculators sold on...Ch. 11.5 - Show that the fractional rate of change of the...Ch. 11.5 - Show that the fractional rate of change of f(x) is...Ch. 11.5 - Let A(t) representa quantity growing...Ch. 11.5 - 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Jay Campbell, who...Ch. 11 - Percentage Rate of Change of P/E Ratios Refer to...Ch. 11 - Sales OHaganBooks.com decided that the cubic curve...Ch. 11 - Rising Sea Level Upon some reflection, Marjory...Ch. 11 - Website Activity The number of hits on...Ch. 11 - Website Activity The number of hits on...Ch. 11 - Demand and Revenue The price p that...Ch. 11 - Demand and Revenue The price p that...Ch. 11 - Find limt+N(t) forboth models, and interpret the...

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