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 she 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. At what rate is the percentage she spends on food is changing as a function of time on January 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 she 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. At what rate is the percentage she spends on food is changing as a function of time on January 1. (Round your answer to two decimal places.)
Chapter2: Functions And Their Graphs
Section: Chapter Questions
Problem 47CT
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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 she 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.
At what rate is the percentage she spends on food is changing as a function of time on January 1. (Round your answer to two decimal places.)
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