If y varies directly with x, and y = 110 when x = 100, find the constant of variation k.
If y = kx, then 110 = k*100. Solve for k. Check my thinking.
Wouldn't I divide 110 by 100=1.1?
yes
To find the constant of variation (k) when y varies directly with x, you can use the formula y = kx.
In this case, you are given that y = 110 when x = 100. You can plug these values into the equation and solve for k:
110 = k * 100
To isolate k, divide both sides of the equation by 100:
110 / 100 = k
Simplifying, you get:
1.1 = k
So the constant of variation (k) is 1.1 in this case.
Your thinking is correct. You correctly divided 110 by 100 to find the value of k.