if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

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Step-by-step explanation:

The inverse variation described can be either of ...

  c = k/d

or

  d = k/c

Either way, the equation can also be written as ...

  cd = k

For the given values of c and d, the value of k is ...

  (5)(5/3) = k = 25/3

So, the model can be written as ...

  cd = 25/3

or

  d = (25/3)/c

__

For c=10, the value of d is ...

  d = (25/3)/10 = 25/30

  d = 5/6

12.5 feet

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.