The temperature at 7 P.M. at a weather station in Minnesota was −5°F. The temperature began changing at the rate of −2.5°F per hour. What was the temperature at 10 P.M.?

Respuesta :

-12.5 is the answer. Multiply the 3 for the time from 7 to 10 by -2.5 to get -7.5. add -7.5 plus -5 to get -12.5

Answer: [tex]-12.5^{\circ} F[/tex]

Step-by-step explanation:

Given : The temperature at 7 P.M. at a weather station in Minnesota was −5°F.

The temperature began changing at the rate of −2.5°F per hour.

Number of hours from 7PM to 10PM =10-7=3

The total change in temperature in 3 hours = [tex]3\times-2.5^{\circ}F=-7.5^{\circ}F[/tex]

Now, the temperature at 10 P.M. would be :-

Temperature at 7 PM + Change in temperature in 3 hours [tex]= -5+(-7.5)=-5-7.5=-12.5^{\circ} F[/tex]

Hence, the temperature at 10 P.M.=[tex]-12.5^{\circ} F[/tex]