A research ship lowers a probe into the ocean to explore an underwater trench. The probe starts on a crane 19 feet above the surface and is lowered at a rate of 11.3 feet per minute. Write an expression for the depth of the probe after m minutes. What is the depth of the probe after 90 minutes?

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RenatoMattice RenatoMattice · Answer 1 · 2018-10-25T06:30:20+02:00

Answer: Depth of the probe after m minutes is given by

[tex]19-11.3m[/tex]

Depth of the probe after 90 minutes is given by

[tex]19-1017=-998\text{ feet}[/tex]

Step-by-step explanation:

Since we have given that

Position at which the probe starts on a crane above the surface = 19 feet

Speed at which it is lowered = 11.3 feet per minute

Time taken = m minutes

Expression will be given by

[tex]\text{ Since we know the formula for distance}\\\\Distance=Speed\times time\\\\Distance=11.3 \times m\\\\Distance= 11.3m[/tex]

So, Depth of the probe after m minutes is given by

[tex]19-11.3m[/tex]

Since we have given time = 90 minutes

[tex]Distance=Speed\times time\\\\Distance=11.3\times 90\\\\Distance=1017\text{ feet}[/tex]

then, Depth of the probe after 90 minutes is given by

[tex]19-1017=-998\text{ feet}[/tex]