A sports trainer has monthly costs of $69.95 for phone service and $39.99 for his website and advertising. In addition he pays a $20 fee to the gym for each session in which he trains a client. ( See Example 11 ) a. Write a cost function to represent the cost C ( x ) for x training sessions for a given month. b . Write a function representing the average cost C ¯ ( x ) for x sessions. c . Evaluate C ¯ ( 5 ) , C ¯ ( 30 ) , and C ¯ ( 120 ) . d . The trainer can realistically have 120 sessions per month. However, if the number of sessions were unlimited, what value would the average cost approach? What does this mean in the context of the problem?
A sports trainer has monthly costs of $69.95 for phone service and $39.99 for his website and advertising. In addition he pays a $20 fee to the gym for each session in which he trains a client. ( See Example 11 ) a. Write a cost function to represent the cost C ( x ) for x training sessions for a given month. b . Write a function representing the average cost C ¯ ( x ) for x sessions. c . Evaluate C ¯ ( 5 ) , C ¯ ( 30 ) , and C ¯ ( 120 ) . d . The trainer can realistically have 120 sessions per month. However, if the number of sessions were unlimited, what value would the average cost approach? What does this mean in the context of the problem?
Solution Summary: The author explains how the cost function can be represented as C(x)=mx+b, where m is the variable cost to produce an item, and b the fixed cost.
A sports trainer has monthly costs of $69.95 for phone service and $39.99 for his website and advertising. In addition he pays a $20 fee to the gym for each session in which he trains a client. (See Example 11 )
a. Write a cost function to represent the cost
C
(
x
)
for x training sessions for a given month.
b. Write a function representing the average cost
C
¯
(
x
)
for x sessions.
c. Evaluate
C
¯
(
5
)
,
C
¯
(
30
)
,
and
C
¯
(
120
)
.
d. The trainer can realistically have 120 sessions per month. However, if the number of sessions were unlimited, what value would the average cost approach? What does this mean in the context of the problem?
Listen
A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
Solve by the quadratic formula or completing the square to obtain exact solutions.
2
e
104
OA) -16±3√6
B) 8±√10
O c) -8±√10
OD) 8±3√√6
U
Question 14 (1 point)
Listen
The frame on a picture is 18 in by 22 in outside and is of uniform width. Using
algebraic methods, what is the width of the frame if the inner area of the picture
shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no
units).
18 in
Your Answer:
22 in
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