Which mixed number is equivalent to the improper fraction? 23/8

A. 2 1/8

B. 2 7/8

C. 3 1/8

D. 3 7/8

2 7/ 8
Explanation: In my opinion I’m guessing B is the answer bc that’s will be the only mixed number equivalent too the improper fraction.

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.

1. 3/6 or 1/22. 1/123. 1/84. 1/105. 2/12 or 1/6