Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air freshener B has a mass of 42 grams when opened and its mass decreases by 4.2% each day. a. Write a function a that determines the mass of air freshener A (in grams) in terms of the number of days t since it was opened. a(t) = (42-4.2t) b. Write a function b that determines the mass of air freshener B (in grams) in terms of the number of days t since it was opened. b(t) = Preview Preview syntax error

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air freshener B has a mass of 42 grams when opened and its mass decreases by 4.2% each day.

a. Write a function \( a \) that determines the mass of air freshener A (in grams) in terms of the number of days \( t \) since it was opened.

\[ a(t) = 42 - 4.2t \]

b. Write a function \( b \) that determines the mass of air freshener B (in grams) in terms of the number of days \( t \) since it was opened.

There is a syntax error for \( b(t) \).
Transcribed Image Text:Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air freshener B has a mass of 42 grams when opened and its mass decreases by 4.2% each day. a. Write a function \( a \) that determines the mass of air freshener A (in grams) in terms of the number of days \( t \) since it was opened. \[ a(t) = 42 - 4.2t \] b. Write a function \( b \) that determines the mass of air freshener B (in grams) in terms of the number of days \( t \) since it was opened. There is a syntax error for \( b(t) \).
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