Find the value of y for a given value of x, if y varies directly with x.

Question

If y=252 when x=84, what is y when x=74?

Answer 1

If y varies directly with x, this means that the ratio of y to x is constant.

We can use this information to set up a proportion:

y/x = 252/84

To find y when x=74, we can set up a new proportion using the same ratio:

y/74 = 252/84

Now, we can cross-multiply and solve for y:

84y = 74 * 252

84y = 18,768

y = 18,768/84

y = 223

Therefore, when x=74, y=223.