To find the number of meters in six kilometers, why do you multiply 6*10 to the power of 3?

Our conversion factor is: 1km = 1000m; 1000m is 10^3m. Since there are more meters in kilometers, we can't divide but multiply. We have 6km times the amount of meters in 1km = 1000m or 10^3m. That is why 6*10^3 = 6000m which is 6km in meters.

Another way of looking at this is;

There's 1000m in 1km (so we use it as a conversion factor).  We multiply 6 * 1000 and divide by 1.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.