Question

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?

Answer 1

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

`19-11.3m`

Depth of the probe after 90 minutes is given by

`19-1017=-998\text{ feet}`

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

`\text{ Since we know the formula for distance}\\\\Distance=Speed* time\\\\Distance=11.3 * m\\\\Distance= 11.3m`

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

`19-11.3m`

Since we have given time = 90 minutes

`Distance=Speed* time\\\\Distance=11.3* 90\\\\Distance=1017\text{ feet}`

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

`19-1017=-998\text{ feet}`