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Question 183070This question is from textbook College Algebra a Graphing Approach
: 1.6 #84
Consumre Awareness. The suggested trtail price of a new car is p dollars. The dealership advertised a factory rebate of $1200 and an 8% discount.
a. Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory.
b. Write a function S in terms of p giving the cost of the car after receiving the dealership discount.
c. Form the composite functions (R o S)(p) and (S o R)(p) and intercept each.
d. Find (R o S)(18,400) and (S o R)(18,400. Which yields the lower cost for the car? Explain
This question is from textbook College Algebra a Graphing Approach
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The suggested trtail price of a new car is p dollars. The dealership advertised a factory rebate of $1200
and an 8% dealership discount.
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a. Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory.
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R(p) = p - 1200
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b. Write a function S in terms of p giving the cost of the car after receiving the dealership discount.
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S(p) = p - 0.08p = 0.92p
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c. Form the composite functions (R o S)(p) and (S o R)(p) and interpret each.
RoS = R[S(p)] = R[0.92p] = (0.92p)-1200
Interpretation: The 8% discount is applied 1st, then the 1200 rebate.
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d. Find (R o S)(18,400) and (S o R)(18,400. Which yields the lower cost for the car? Explain
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Don't recognize that notation.
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Cheers,
Stan H.
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