Answer:
POLYNOMIAL FUNCTION (PROFIT)
Direct Substitution to Evaluate the Polynomial Function
A car manufacturer determines that it's 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 at x = 150?
A. Php 75.28
B. Php 632,959.50
C. Php 3,000,000.00
D. Php 10,125,297.00
Solution:
Ihalili ang given na 150 sa variable na x.
[tex]\sf{P(150) = 0.00125(150)⁴ + 150 - 3}[/tex]
I-simplify ang exponent.
[tex]\sf{P(150) = 0.00125(506,250,000) + 150 - 3}[/tex]
- Lagi nating tatandaan na ang numerong nasa taas ng base ay yun ang nagtatakda kung ilang beses natin imumultiply ang sarili nito.
- Since 4 ang exponent ng x value na 150, apat na beses nating ita-times ito by itself.
- [tex]\blue{\sf{150 × \: 150 \: × 150 \: × 150 = \: 506,250,000}}[/tex]
[tex]\underline{\sf{Simplification}}[/tex]
[tex]\sf{P(150) = 0.00125(506,250,000) + 150 - 3}[/tex]
[tex]\sf{P(150) = 632,812.50 + 150 - 3}[/tex]
[tex]\sf{P(150) = 632,962.50 - 3}[/tex]
[tex]\boxed{\sf{P(150) = 632,959.5}}[/tex]
The answer for that question is:
[tex]\boxed{\purple{\sf{B. \: Php \: 632,959.50}}}[/tex]
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