A company makes and boxes spaghetti. One machine fills each box with approximately 32 ounces of spaghetti.
• After the boxes are filled, another machine weighs each box.
• A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.
Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?
O A. IX-32 50.25
OB. IX+32 5 0.25
OC. IX-0.25 532
O D. x +0.25 32

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.