Algebra 2 Modeling

Question

Each Christmas elf makes x toys in an hour. n elves work for t hours to produce 1000 toys.

Write an equation that relates x, n, and t.

Answer 1

If you think of it as unit conversions like this:

You can see that multiplying the x, n, and t together results in "toys" as the resulting unit ("hours" cancels "hours" and "elves" cancels "elf" resulting in units of "toys").

So the equation would be (x)(n)(t) = 1000

Answer 2

In t hours 1 elf makes x toys

In t hours n elves make nx toys