In a particular city, taxicabs charge passengers $3.10 for entering a cab and then $0.40 for each one-fifth of a mile (or fraction thereof) traveled. If x represents the distance traveled in miles, then C(x) is the cost of the taxi fare, where C(x) = $3.10 if x = 0, C(x) = $3.50 if 0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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In a particular city, taxicabs charge passengers $3.10 for entering a cab and then $0.40
for each one-fifth of a mile (or fraction thereof) traveled. If x represents the distance
traveled in miles, then C(x) is the cost of the taxi fare, where C(x) = $3.10 if x = 0,
C(x) = $3.50 if 0 < x≤0.2, and so on. The graph of C is shown to the right. Use the graph
to find each of the following limits, if it exists.
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
O A.
lim C(x) = $
x-0.31
(Simplify your answer. Do not include the $ symbol in your answer.)
OB. The limit does not exist.
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A.
lim C(x) = $
x→0.31*
(Simplify your answer. Do not include the $ symbol in your answer.)
O B. The limit does not exist.
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
O A.
lim C(x) = $
x→0.31
(Simplify your answer. Do not include the $ symbol in your answer.)
OB. The limit does not exist.
5.5-
5.1
47
4.3
3.9
3.5
3.14
0
0.2 0.4 0.6 0.8
Distance traveled (in miles)
Transcribed Image Text:In a particular city, taxicabs charge passengers $3.10 for entering a cab and then $0.40 for each one-fifth of a mile (or fraction thereof) traveled. If x represents the distance traveled in miles, then C(x) is the cost of the taxi fare, where C(x) = $3.10 if x = 0, C(x) = $3.50 if 0 < x≤0.2, and so on. The graph of C is shown to the right. Use the graph to find each of the following limits, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim C(x) = $ x-0.31 (Simplify your answer. Do not include the $ symbol in your answer.) OB. The limit does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim C(x) = $ x→0.31* (Simplify your answer. Do not include the $ symbol in your answer.) O B. The limit does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim C(x) = $ x→0.31 (Simplify your answer. Do not include the $ symbol in your answer.) OB. The limit does not exist. 5.5- 5.1 47 4.3 3.9 3.5 3.14 0 0.2 0.4 0.6 0.8 Distance traveled (in miles)
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