Question

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.

Answer 1

`h(t)=x+0.46t`

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:

`\bigtriangleup=(2.3)/(5)\\\\=0.46\textdegree F`

The situation can thus be expressed as:

`h(t)=x+2.3(t)/(5)\\\\h(t)=x+0.46t`