If a scuba diver swam from the surface at −1212 feet per minute, for 412 minutes, what would be the diver’s change in elevation?

-1212 feet/min * 412 min = -499314 feet

Step-by-step explanation:

if you have a speed, or in this case velocity since the measurement has a definite direction,  and time you can multiply them together to get the distance.  Some easy examples, 10 feet per second for 1 second is 10 feet, hopefully that logically makes sense as well.  i you are going 10 feet in 1 second, then after 1 second you went 10 feet.  after 2 seconds it's 20 seconds and so on

Here we have -1212 feet per minute for 412 minutes.  just to establish things, 1 minute would be -1212 feet, here the negative means below the surface, sometimes measurements will have that.  Anyway, 2 minutes would get -2424, and so on.  So it should make sense to multiply them.

-1212 * 412 = -499314

With units, you also have to pay attention to what might cancel out.  You treat different units like variables.  so -1212feet per minute looks like -1212 feet/min where feet and min are basically variables.  Similarly 412 minutes is 412 min.  So if you picture multiplying these, you get -1212 feet/min * 412 min.  In this scenario the mins cancel each other out, since everything s being multiplied.  so like if you had x/y * y you would just get x, or 2/3 * 3 gets just 2.  So this is another way to know what to multiply by.

feet/min has min in the denominator and we want feet, so we need to multiply by something that just has min as its units.  Anyway, that let's you know it's -499314 feet

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