A person dives into the ocean and finds Object A at a depth of 9.8 meters. He records the
elevation of Object A as -9.8. He finds Object B 3.2 meters deeper than A. He finds Object C at 2/3
the depth of Object B. How will the diver record the elevation of Object C

i can try and you the very best that i can.

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.