Answer:
It is after 4 explorations that the submarine's elevation would have changed by -3/2 miles
Step-by-step 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
= [tex]-\frac{3}{2} \div -\frac{3}{8}[/tex]
= [tex]-\frac{3}{2} \times -\frac{8}{3}[/tex]
=[tex]\frac{24}{6}[/tex]
= 4
Hence, it is after 4 explorations that the submarine's elevation would have changed by -3/2 miles.