Abiscuit recipe calls for 2 pounds of all purpose flour and .75 pound of butter, what would be the baker’s percentage for butter if the recipe were converted to a formula with all purpose flour as the main ingredient?

For this case we have the following data:

The recipe for cookies requires:

If the flour becomes the main ingredient, it will be represented by 100%.

Now, you want to know the percentage of butter, taking into account that the flour represents 100%. For this, we use a rule of three:

2 pounds of flour         ------> 100%

0.75 pounds of butter ------> x

Where x represents % butter, since flour represents 100%.

So, we have:

Thus, butter represents 37.5% of the recipe.

37.5%

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

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.