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A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba divers rate of change?

Answer 1

Nathan Axel

#color(blue)("Scuba diver's rate of change " m = 130 / 30 = 4.33 " ft / sec"#

#"Rate of change " m= (y_2 - y_1) / (x_2 - x_1)#

#"Given : " (x_1,y_1) = 10, 30), (x_2,y_2) = (40, 100)#

#:. "Scuba diver's rate of change " m = (100-30) / (40-10) = 130 / 30 = 4.33 " ft / sec"#

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Answer 2

Julia Adams

The scuba diver's rate of change is 2.5 feet per second.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.