The temperature in Nico's town was - 2.9 f at noon. the temperature increased at a steady rate of 1.3 f per hour until 6:00p. m. then, the temperature decreased by a total of 3.7 f by midnight. what was the temperature at midnight?

Temperature at noon: Tn=-2.9 f

Rate: r=+1.3 f/h

Total decreased: d=-3.7 f

Temperature at midnight: Tm=?

Tm=Tn+r (6 p. m.-12 m) + d

Tm=-2.9 f + (1.3 f/h) (18 h-12 h) + (-3.7 f)

Tm=-2.9 f + (1.3 f/h) (6 h) - 3.7 f

Tm=-2.9 f+7.8 f-3.7 f

Tm=1.2 f

Answer: T he temperature at midnight was 1.2 f