A new pizza company has asked you to design a pizza box. The diameter of a large pizza is 14 inches. (7.GM.6)
A. A cardboard pizza circle, the same size as the pizza, is placed under the pizza in the
box. What is the circumference of the cardboard pizza circle?
B. What is the area of the cardboard pizza circle?
C. You allow a 1-inch gap between the pizza and the sides of the box. What is the length
of each side of the base of the box?

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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.