A fast food restaurant was selling 3 boxes of 8 chicken nuggets for $25.90. A competing restaurant was sellling 3 boxes of 3 chicken fingers for $11.07. Which deal is cheaper for dollars per nugget/finger?

25.9-11.07

Step-by-step explanation:

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.