A small rural town has recently discovered that a nearby lake has been heavily contaminated with pollutants. As more pollutants are removed from the lake, the clean up costs increase. The town finds that if it spends x billion dollars on clean up, then p percent of pollutant is removed from the lake as described by the function below: 100x p = f(x) = 76+x (a) Which ONE of the following would be the appropriate notation for f-¹? Op=f-¹(x) Ox= f(p) Op = f(x) Ox=f-¹ (p) (b) Determine the input variable and output variable for the inverse function, f-1 input variable for f-1--Select--- output variable for f-1:-Select--- V (c) What is the practical interpretation for f-1(70) = 177? O If the town spends to 177 billion dollars, then 70 % of pollutants are removed from the lake. O If the town wants to remove 177 % of pollutants from the lake, they should plan on spending 70 billion dollars. O If the town wants to remove 70 % of pollutants from the lake, they should plan on spending 177 billion dollars. O If the town spends to 70 billion dollars, then 177 % of pollutants are removed from the lake.
A small rural town has recently discovered that a nearby lake has been heavily contaminated with pollutants. As more pollutants are removed from the lake, the clean up costs increase. The town finds that if it spends x billion dollars on clean up, then p percent of pollutant is removed from the lake as described by the function below: 100x p = f(x) = 76+x (a) Which ONE of the following would be the appropriate notation for f-¹? Op=f-¹(x) Ox= f(p) Op = f(x) Ox=f-¹ (p) (b) Determine the input variable and output variable for the inverse function, f-1 input variable for f-1--Select--- output variable for f-1:-Select--- V (c) What is the practical interpretation for f-1(70) = 177? O If the town spends to 177 billion dollars, then 70 % of pollutants are removed from the lake. O If the town wants to remove 177 % of pollutants from the lake, they should plan on spending 70 billion dollars. O If the town wants to remove 70 % of pollutants from the lake, they should plan on spending 177 billion dollars. O If the town spends to 70 billion dollars, then 177 % of pollutants are removed from the lake.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A small rural town has recently discovered that a nearby lake has been heavily contaminated with pollutants. As more pollutants are removed from the lake, the clean up costs
increase. The town finds that if it spends x billion dollars on clean up, then p percent of pollutant is removed from the lake as described by the function below:
p = f(x) =
(a) Which ONE of the following would be the appropriate notation for f-1?
Op = f-¹(x)
O x = f (p)
Op = f(x)
Ox=f-¹ (p)
100x
76+x
(b) Determine the input variable and output variable for the inverse function, f-1
input variable for f-1 ---Select--- ✓
output variable for f-1--Select--- V
(c) What is the practical interpretation for f-¹(70) = 177?
O If the town spends to 177 billion dollars, then 70 % of pollutants are removed from the lake.
O If the town wants to remove 177 % of pollutants from the lake, they should plan on spending 70 billion dollars.
O If the town wants to remove 70 % of pollutants from the lake, they should plan on spending 177 billion dollars.
O If the town spends to 70 billion dollars, then 177 % of pollutants are removed from the lake.
---Select---
р
X
for part B, the given option for both
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