The residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 4 to 7. if there were 5019 no votes, what was the total number of votes?

10 * 563.67 = 5636.7

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.