Jon is cooking enough lentils for lentil barley soup and lentil salad. The lentil barley soup recipe calls for 1/2 cup of dried lentils. The lentil salad recipe calls for 1 ½ cups of dried lentils. Jon had a ⅛ cup scoop. How many scoops of dried lentils will Jon need to have enough for the soup and the salad?

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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.

16

step-by-step explanation: