A scientist is measuring the temperature change in a chemical compound. The temperature dropped 11F per hour from the original temperature. After 4 hours, the temperature was 90 F. Find the compound's original temperature.

Respuesta :

Answer:

134F

Step-by-step explanation:

Let C represent temperature and t represent number of hours.

We have been given that the temperature dropped 11 F per hour from the original temperature. So temperature dropped in t hours would be [tex]-11t[/tex].

We will represent our given equation in slope-intercept form:

[tex]C=-11t+b[/tex], where b is initial temperature of compound.

We have been given that after 4 hours, the temperature was 90 F. This means point [tex](4,90)[/tex] in on the line. So we will get:

[tex]90=-11(4)+b[/tex]

[tex]90=-44+b[/tex]

[tex]90+44=-44+44+b[/tex]

[tex]134=b[/tex]

Therefore, the original temperature of the compound is 134F.

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