Consumer Awareness The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $ 2000 and a 10 % discount. (a) Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory. (b) Write a function S in terms of p giving the cost of the hybrid car after receiving the dealership discount. (c) Find and interpret R ∘ S p and S ∘ R p . (d) Find ( R ∘ S ) 25 , 795 and ( S ∘ R ) 25 , 795 . Which yields the lower cost for the hybrid car? Explain.
Consumer Awareness The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $ 2000 and a 10 % discount. (a) Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory. (b) Write a function S in terms of p giving the cost of the hybrid car after receiving the dealership discount. (c) Find and interpret R ∘ S p and S ∘ R p . (d) Find ( R ∘ S ) 25 , 795 and ( S ∘ R ) 25 , 795 . Which yields the lower cost for the hybrid car? Explain.
Solution Summary: The author analyzes the function R in terms of p, which gives the cost of the hybrid car after getting a rebate from the factory.
Consumer Awareness The suggested retail price of a new hybrid car is
p
dollars. The dealership advertises a factory rebate of
$
2000
and a
10
%
discount.
(a) Write a function
R
in terms of
p
giving the cost of the hybrid car after receiving the rebate from the factory.
(b) Write a function
S
in terms of
p
giving the cost of the hybrid car after receiving the dealership discount.
(c) Find and interpret
R
∘
S
p
and
S
∘
R
p
.
(d) Find
(
R
∘
S
)
25
,
795
and
(
S
∘
R
)
25
,
795
.
Which yields the lower cost for the hybrid car? Explain.
Membership at a private arcade club costs a one-time initiation fee of $50 plus $10
per month.
Part A: Write a function expressing the total amount of money spent on membership
as a function of the number of months.
Part B: Identify the independent variable and the dependent variable in this
situation.
Part C: How much total money has been spent on membership after 12 months?
Millage rate is the amount per $1000 that is often used
to calculate property tax. For example, a home with a
$60,000 taxable value in a municipality with a 19 mil tax
rate would require (0.019)($60,000) = $1140 in property
taxes. In one county, homeowners pay a flat tax of $172
plus a rate of 19 mil on the taxable value of a home.
a. Write a linear function that represents the total
property tax T(x) for a home with a taxable value of
x dollars.
b. Evaluate T(80,000) and interpret the meaning in the
context of this problem.
The gas mileage of a car (in miles per gallon) is highest when the car is going about 45 miles per hour and is lower when the car is going faster or slower than 45 mph. Graph gas mileage as a function of speed of the car.
Chapter 2 Solutions
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
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