Modeling with Rational Functions

Question 1

The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years? Use rational functions to help justify your answer.

Revolt · Accepted Answer

rational functions that model the average annual cost of each television if it is owned for x years, such as  f(x)= (330+14x)/x and g(x)= (369+9x)/x calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13 statement that the Gordons should buy the $369 television because it is less expensive overall

Question 2

A medication is administered to a patient and the concentration of the medication in the bloodstream is monitored. At time (in hours since giving the medication) the concentration, in mg/L, is modeled by the graph of the rational function on the right. Approximately when does the medication reach half of its highest concentration in the patient’s bloodstream?

Revolt · Accepted Answer

D: 3 hours, 45 minutes

Question 3

Check each item below that you included in your response.

Revolt · Accepted Answer

A: rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and g(x)= (369+9x)/x; B: calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13; C: statement that the Gordons should buy the $369 television because it is less expensive overall

Modeling with Rational Functions Answers

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