Bought 12.5 yards of fabric at 4.50 a yard to make dog beds. she use 2.5 yards of fabric to each dog bed, she sells a bed for 17.5 after subtracting cost of fabric how much money is made if all the beds were sold

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.