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A temperature probe registers a temperature
of -124° C. If the probe's temperature increases
by 8 °C per hour, after how many hours will it
be at a temperature of 4°C?

Respuesta :

MrRoyal

Answer:

16 hours

Step-by-step explanation:

Given

[tex]Initial = -124[/tex]

[tex]Rate = 8[/tex] per hour

Required

Determine the number of hours it gets to 4 degrees

Let the temperature at every hour, h be T.

So, we have:

[tex]T = Initial + Rate * h[/tex]

[tex]T = -124+ 8* h[/tex]

[tex]T = -124+ 8h[/tex]

To calculate the time it gets to 4 degrees. We first substitute 4 for T; then solve for h

[tex]4 = -124+ 8h[/tex]

Collect Like Terms

[tex]8h = 4 + 124[/tex]

[tex]8h = 128[/tex]

Solve for h

[tex]h = \frac{128}{8}[/tex]

[tex]h = 16[/tex]

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