In a particular very small region, the consumer price index, C, depends on the current value of gross regional domestic expenditure E, number of people living in poverty P, and the average number of household members in a family F, by the following formula: e-Ep C = 100 + F If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50 per year, and the number of people living in poverty and the average number of household members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer price index change per year at the moment when E = 1,000, P = 200, and F = 5?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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In a particular very small region, the consumer price index, C, depends on the current
value of gross regional domestic expenditure E, number of people living in poverty P, and
the average number of household members in a family F, by the following formula:
e-EP
C = 100 +
F
If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50
per year, and the number of people living in poverty and the average number of household
members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer
price index change per year at the moment when E = 1, 000, P = 200, and F = 5?
Transcribed Image Text:In a particular very small region, the consumer price index, C, depends on the current value of gross regional domestic expenditure E, number of people living in poverty P, and the average number of household members in a family F, by the following formula: e-EP C = 100 + F If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50 per year, and the number of people living in poverty and the average number of household members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer price index change per year at the moment when E = 1, 000, P = 200, and F = 5?
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