Yesterday morning at 8 a. m. the temperature was -14˚f. at noon it was 10 degrees warmer. the temperature increase between noon and and 4 p. m. was twice the temperature increase between 8 a. m. and noon. what was the temperature at 4 p. m?

The temperature was -14°F at 8 a.m.

At noon is was 10 degrees warmer - the temperature increase was 10°F
-14°F + 10°F = -4°F

The tempertaure increase between noon and 4 p.m. was twice the previous increase in temperature, which was 10°F.
10°F x 2 = 20°F

We want to know the temperature at 4 p.m. so we just add it up to the previous result.
-4°F + 20°F = 16°F

16°F is the correct answer