Skill Practice An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL tube. a. Write a function representing the cost C ( x ) ( in $ ) for x tubes of paint. b. There is a 5.5% sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost T ( a ) for a dollars spent in merchandise. c. Find ( T ∘ C ) ( x ) and interpret the meaning in context. d. Evaluate ( T ∘ C ) ( 18 ) and interpret the meaning in context.
Skill Practice An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL tube. a. Write a function representing the cost C ( x ) ( in $ ) for x tubes of paint. b. There is a 5.5% sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost T ( a ) for a dollars spent in merchandise. c. Find ( T ∘ C ) ( x ) and interpret the meaning in context. d. Evaluate ( T ∘ C ) ( 18 ) and interpret the meaning in context.
An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL tube.
a. Write a function representing the cost
C
(
x
)
(
in $
)
for x tubes of paint.
b. There is a 5.5% sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost
T
(
a
)
for a dollars spent in merchandise.
c. Find
(
T
∘
C
)
(
x
)
and interpret the meaning in context.
d. Evaluate
(
T
∘
C
)
(
18
)
and interpret the meaning in context.
A company sells a chair for $450. It costs them $350 to make each chair, plus fixed costs for operation of $20,000.
Write the cost and revenue functions.
Cost =
Revenue =
(Type expressions using x as the variable.)
Write as a piecewise function
Use the revenue and cost graphs on the right to find the approximate profit from
manufacturing 24,000 cell phones.
What is the approximate profit from manufacturing 24,000 phones?
$
5-
4.
3
Dollars (in millions)
1.
0-
0
Revenue
Cast
8
16 24 32 40 48
Cell phones (in thousands)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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