How many times greater is 3.4 x 10^10 than 1.7 x 10^8 ?

a.200
b.170
c.2.5
d.2

 200 times greater than

Step-by-step explanation:

and  

To find how many times greater is     than  , we divide the exponents

2*10^2 = 2*100=200

 200 times greater than

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.