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A scientist is slowly heating a quantity of vinegar. Every 5 minutes, the temperature rises 2.3 Fahrenheit degrees. Write an equation that describes this situation.

Respuesta :

Answer:

[tex]h(t)=x+0.46t[/tex]

Step-by-step explanation:

-Let t denote time and h(t) be the function that denotes the temperature after time t

-Also, let's take x°F to be the initial temperature of the vinegar.

Since, the temperature increases by 2.3°F every 5 minutes, we determine the rate of change per minute:

[tex]\bigtriangleup=\frac{2.3}{5}\\\\=0.46\textdegree F[/tex]

The situation can thus be expressed as:

[tex]h(t)=x+2.3\frac{t}{5}\\\\h(t)=x+0.46t[/tex]