Question

If y varies directly as x and y = 29 when x = 6, find y if x = 9. (Round off your answer to the nearest hundredth.

Answer 1

If y varies directly as x, this means that the relationship between y and x can be represented by an equation of the form y = kx, where k is a constant.

To find the value of k, we can use the given information that y = 29 when x = 6.

29 = k * 6

Now we can solve for k:

k = 29/6 ≈ 4.83

Now that we have the value for k, we can use the equation y = kx to find y when x = 9:

y = 4.83 * 9 ≈ 43.47

Rounding to the nearest hundredth, y ≈ 43.47.