Concept explainers
To express:The relationship between water depth and time to ascend to the water’s surface as a function. Explain the relationship between the variable. Also, explain whether water depth can ever correspond to two different times.
Answer to Problem 34HP
The given relation is a function.
Explanation of Solution
Formula used:
Distance is given by the formula:
Let depth be d.
Let total time taken be t .
Let speed be s.
The relationship between water depth and time to ascend to the water’s surface as a function can be evaluated as follows:
Words
Function
Here, the time taken t is the independent variable and distance or depth d is the dependent variable. Hence, the value of d is dependent on the value of t .
Water depth will never correspond to two different times if the speed, s is constant. If speed is changed, keeping the distance constant, then water depth can correspond to two different times.
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