Blue Water Resorts offers a vacation package starting at $1400 for a 5 night stay. Each additional night adds
$224 to the package price. Sea Breeze Resort offers a similar package, starting at $1050 for a 5 night stay.
This vacation is available up to 14 nights, with each additional night past the fifth bringing a 16% increase in
the price. For what length of vacation does each resort cost about the same?

here is the

mark brainliest pl

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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.