1 gal = 16 c
Our staff says that 16 c is bigger than 15 c.
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1 gal is greater
1 gallon is greater than 15 cups1 gallon = 16 cups
1 degree C is a bigger change. It's 1.8 times the size of a change of 1 degree F. (Technically, these are changes in temperature, not heat. There's a difference.)
6 cups are bigger
The square root of 15 is an irrational number and to 9 decimal places it is about 3.872983346 ------------ Let me write the Mean Value Theorem (mvt) as f'(c) = (f(b)-f(a))/(b-a), for some c in [a,b]. f is the square root function, which is obviously continuous (and diff'able) on [a,b], provided that a>=0. f'(c) = (1/2)c-1/2. If I pretend to ignore the first answer, I can say that a little mental experimentation would indicate that f(15) is inside [3.844, 4]. And I chose these bounds because they give 'easy' square roots. Applying the mvt, (1/2)c-1/2 = ( f(16)-f(15) ) / (16-15) = 4 - f(15) for some c in (3.844, 4). (1/2)c-1/2 is a decreasing function, hence it has its lower bound at 4; therefore, 4 - f(15) > (1/2)4-1/2 = 1/4 => f(15) < 15/4 (1/2)c-1/2 has its upper bound at 3.844; hence, 4 - f(15) < (1/2)3.844-1/2 Put these together to obtain bounds for f(15).