The percentage y (of total personal consumption) an individual spends on food is approximately y = 35x−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 + 0.2t 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). (NOTE: January 1 is represented by t = 0.) y(t) = Use the chain rule to estimate how fast the percentage she spends on food is changing on September 1. (Round your answer to two decimal places.)
The percentage y (of total personal consumption) an individual spends on food is approximately y = 35x−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 + 0.2t 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). (NOTE: January 1 is represented by t = 0.) y(t) = Use the chain rule to estimate how fast the percentage she spends on food is changing on September 1. (Round your answer to two decimal places.)
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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The percentage y (of total personal consumption) an individual spends on food is approximately
y = 35x−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 + 0.2t
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). (NOTE: January 1 is represented by t = 0.)
y(t) | = |
|
Use the chain rule to estimate how fast the percentage she spends on food is changing on September 1. (Round your answer to two decimal places.)
Specify the units.
percentage points per monthmonths per percentage point percentage points per percent of budget on educationpercentage of budget on education per month
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