Arecipe used 4 cups of sugar every 2 teaspoons of vanilla. how many cups of sugar were used per teaspoon of vanilla?

2 cups of sugar per teaspoon of vanilla  

Step-by-step explanation:

4  ÷ 2 = 2

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

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.