How does knowing where the halfway point is you find which hundred thousand 138,202 is closest to? explain

Knowing the halfway point (which is 5) helps you so you know wither or not the hundred thousands place goes high or stays the same.
So, for this problem 138,202 would round out to 100,000 because the 3 is below 5 so the hundred thousands place stays the same.

Answer

1 number

explanation

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.

Yea they are simplyfiy the ratios