Question

A scientist is measuring the temperature change in a decimal compound. The temperature dropped 11 f per hour from the original temperature. After four hours the temperature was 90 f find the compounds original temperature.

Answer 1

`F = mt +b`

From the info given we know that m =-11 and we have a condition given:

`F =90 , t =4`

Using this condition we have:

`90 = -11*4 +b`

And solving for b we got:

`90 +4*11 = 90 +44= 134`

So then the original temperatue for this case is 134 F

Explanation:

For this case we know that after four hours the temperature was 90 f and the temperature dropped 11 f per hour.

We can use a linear model to solve the problem given by:

`F = mt +b`

Where F represent the temperature, t the time in hours and m the slope and b the intercept.

From the info given we know that m =-11 and we have a condition given:

`F =90 , t =4`

Using this condition we have:

`90 = -11*4 +b`

And solving for b we got:

`90 +4*11 = 90 +44= 134`

So then the original temperatue for this case is 134 F