in scuba diving,the time it takes a diver to ascend safely to the surface varies directly with the depth of the dive.If it takes 0.75 minutes to reach the surface from a 45 foot dive,determine the time it will take to reach the surface from a 120 foot dive.

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dfbustos dfbustos · Answer 1 · 2020-01-10T16:08:33+01:00

Answer:

[tex] b = \frac{0.75 min}{45 ft} * 120 ft = 2minutes[/tex]

So then it takes 2 minutes to reach the surface from a 120 foot dive,

Step-by-step explanation:

For this case we can define some notation

[tex] a[/tex] represent the distance ascend

[tex] b[/tex] represent the time to reach the surface

For this case we know that it takes 0.75 minutes to reach the surface from 45 ft foot dive. That represent the info known.

And we want to find how much time b is required to rach the surface from a 120 foot dive. So we can use the following proportion:

[tex] \frac{0.75 min}{45 ft}=\frac{b minutes}{120 ft}[/tex]

And if we solve for b we got:

[tex] b = \frac{0.75 min}{45 ft} * 120 ft = 2minutes[/tex]

So then it takes 2 minutes to reach the surface from a 120 foot dive,