if y varies directly as x? and y = 356 when x = 2. find y if x = 14. (Round off your answer to the nearest hundredth.)
To determine the relationship between y and x, we can write it as an equation: y = kx, where k is the constant of variation.
We can find k by plugging in the given values of y and x into the equation: 356 = k(2).
Solving for k, we divide both sides of the equation by 2: k = 356/2 = 178.
Now that we know k, we can use it to find y when x = 14: y = 178(14).
Calculating this, we find y = 2492.
Rounding to the nearest hundredth, y is approximately 2492.00.