The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures are shown.

Which equation models this data?

The table shows the temperatures in degrees Celsius y inside a shed at x hours past noon The maximum and minimum temperatures are shown Which equation models th class=

Respuesta :

Answer:

B

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is [tex]y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17[/tex]

The equation that represent this data is [tex]y = 3 cos(\frac{\pi}{12}x - \frac{\pi}{4} ) + 17[/tex]

The following information should be considered:

  • The average temperature is half of (20 + 14) = 17.
  • Now amplitude is = 20 - 17= 3.
  • This 3 represent it is in noon and it should be shifted 3hours past.

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