On a winter morning, the temperature before sunrise was -11 Fahrenheit. The temperature than rose by 1/2 degree
each hour for 7 hours before dropping by 2 1/4 degrees each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 10 hours?

Respuesta :

the answer is -11.25°F
detailed answer is in the attached image.
Ver imagen sdgismep6d4p4

Answer:

-14.25 degrees Fahrenheit was the temperature after 10 hours.

Step-by-step explanation:

The temperature before sunrise = -11°F

Temperature after rise by 1/2 degree  each hour for 7 hours that id before dropping.

[tex]T=(-11 + \frac{1}{2}\times 7)^oF=-7.5^oF[/tex]

Now after 7 hours drop in temperature takes place [tex]2\frac{1}{4}[/tex] degrees each hour for 3 hours, sat T'

[tex]T'=(-7.5-2\frac{1}{4}\times 3)^oF[/tex]

[tex]T'=(-7.5-\frac{9}{4}\times 3)^oF=-14.25^oF[/tex]

-14.25 degrees Fahrenheit was the temperature after 10 hours.

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