D. Solve the following problems. Show your solutions completely on the space
provided. (5 points each)
SOLUTIONS
GIVEN PROBLEMS
1. A car manufacturer determines that its profit,
P, in thousands of pesos can be modeled by
the function P(x) = 0.00125x4 + x - 3 where x
represents the number of cars sold. What is
the profit when x = 300?
2. A demographer predicts that a population,
P, of a town x year from now can be
modeled by the function P(x) = 6x4 - 5x3 +
200x + 12 000. What will the population of the
town (2) years from now?
provided. (5 points each)
SOLUTIONS
GIVEN PROBLEMS
1. A car manufacturer determines that its profit,
P, in thousands of pesos can be modeled by
the function P(x) = 0.00125x4 + x - 3 where x
represents the number of cars sold. What is
the profit when x = 300?
2. A demographer predicts that a population,
P, of a town x year from now can be
modeled by the function P(x) = 6x4 - 5x3 +
200x + 12 000. What will the population of the
town (2) years from now?
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Answers & Comments
Answer:
1.The profit is 632,809.5
Simply subtitute the value of X to the function.
2. P(2) = 6(2)⁴ — 5(2)³ + 200(2) + 12000
P(2) = 6(16) — 5(8) + 400 + 12000
P(2) = 96 — 40 + 12400
P(2) = 12456