Question

if y varies directly as x and y=15 when x=12 find y when x= 32

Answer 1

If y varies directly as x, it means that the ratio between y and x remains constant. We can find this constant by using the given values.

When x = 12, y = 15.

The ratio between y and x is:
y / x = 15 / 12 = 5 / 4

Now, we can use this ratio to find y when x = 32.
y / 32 = 5 / 4

Cross-multiplying:
4y = 32 * 5
4y = 160
y = 160 / 4
y = 40

Therefore, when x = 32, y = 40.