Which fraction is greater:
3/4 or 7/ 8
which fraction is greater:
1/3 or 3/9
which fraction is greater:
3/4 or 2/3

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.