A boat travels 300 meters north from dock in an ocean. Because of the current, the boat is also carried 50 meters west as shown. What is the distance from the boat to the dock, rounded to the nearest meter?

112m

Step-by-step explanation:

Use formula:

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.