Repaso en espiral (5.NBT. B.6, 5.NBT. B.7, 5.NF. B.3)
3. Iván tiene 15 yardas de fieltro verde y 12 yardas de
fieltro azul para hacer 3 edredones. Si Iván usa la
misma cantidad total de yardas para cada edredón,
¿cuántas yardas de fieltro usa para cada edredón?
Cual es la respuesta

take it another

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.