Question

The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?

Answer 1

It is after 4 explorations that the submarine's elevation would have changed by -3/2 miles

Explanation:

From the question,

The elevation of the submarine changes by -3/8 mile after each exploration.

To determine the number of explorations it will take for the submarine's elevation to have changed by -3/2 miles, we will divide -3/2 miles by the number of miles the elevation of the submarine changes per exploration (that is, -3/8 mile),

That is,

-3/2 miles ÷ -3/8 mile

=
`-(3)/(2) / -(3)/(8)`

=
`-(3)/(2) * -(8)/(3)`

=
`(24)/(6)`

= 4

Hence, it is after 4 explorations that the submarine's elevation would have changed by -3/2 miles.