Amalia is scuba diving at a position 24.25 feet below sea level. she descends 0.5 foot each minute for 25 minutes. what is amalia’s position compared to sea level after 25 minutes?

Amalia’s position compared to sea level after 25 minutes = 36.75 foot below sea level

Step-by-step explanation:

Amalia is scuba diving at a position 24.25 feet below sea level.

Initial position = 24.25 feet below sea level

She descends 0.5 foot each minute for 25 minutes.

Average descendant = 0.5 foot per minute

Time of descendant = 25 minutes

Distance descended = 25 x 0.5 = 12.5 foot

Final position = 24.25 + 12.5 = 36.75 foot below sea level

Amalia’s position compared to sea level after 25 minutes = 36.75 foot below sea level

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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.