Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.
Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:
[tex]20 \times 2.5 = 50[/tex]
The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:
[tex]T(f) = 68 - 0.3f[/tex]
Jody is at a depth of 50 feet, thus the temperature is T(50).
[tex]T(50) = 68 - 0.3(50) = 53[/tex]
The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.
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