Can you answer all of these 10 points of you do

1.) a.) 12 / 6 = 2
      b.) 3 / 2 = 1.5
      c.) 16 / 8 =2
      d.) Positive

2.) 0 = 0
     2 = 13
     4 = 26
     6 = 39
     8 = 52
     10 = 65
     a.) $6.50
     b.) Is increasing
     c.)  Positive

The slope best fit isc. 1/6 mile per hour

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.